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We also find simple equations that need to be satisfied by the configurations to be" /> <meta name="twitter:image" content="https://gravatar.com/avatar/d422315ef2ff1cda00d6ee3f37692f50?s=200" /> <meta property="fb:app_id" content="2369844204" /> <meta property="og:type" content="article" /> <meta property="og:url" content="https://www.academia.edu/73432422/All_the_supersymmetric_configurations_of_N_4_d_4_supergravity" /> <meta property="og:title" content="All the supersymmetric configurations of N=4,d=4 supergravity" /> <meta property="og:image" content="http://a.academia-assets.com/images/open-graph-icons/fb-paper.gif" /> <meta property="og:description" content="All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be" /> <meta property="article:author" content="https://independent.academia.edu/TomasOrtin" /> <meta name="description" content="All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be" /> <title>(PDF) All the supersymmetric configurations of N=4,d=4 supergravity</title> <link rel="canonical" href="https://www.academia.edu/73432422/All_the_supersymmetric_configurations_of_N_4_d_4_supergravity" /> <script async src="https://www.googletagmanager.com/gtag/js?id=G-5VKX33P2DS"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-5VKX33P2DS', { cookie_domain: 'academia.edu', send_page_view: false, }); gtag('event', 'page_view', { 'controller': "single_work", 'action': "show", 'controller_action': 'single_work#show', 'logged_in': 'false', 'edge': 'unknown', // Send nil if there is no A/B test bucket, in case some records get logged // with missing data - that way we can distinguish between the two cases. // ab_test_bucket should be of the form <ab_test_name>:<bucket> 'ab_test_bucket': null, }) </script> <script> var $controller_name = 'single_work'; var $action_name = "show"; var $rails_env = 'production'; var $app_rev = 'b092bf3a3df71cf13feee7c143e83a57eb6b94fb'; var $domain = 'academia.edu'; var $app_host = "academia.edu"; var $asset_host = "academia-assets.com"; var $start_time = new Date().getTime(); var $recaptcha_key = "6LdxlRMTAAAAADnu_zyLhLg0YF9uACwz78shpjJB"; var $recaptcha_invisible_key = "6Lf3KHUUAAAAACggoMpmGJdQDtiyrjVlvGJ6BbAj"; var $disableClientRecordHit = false; </script> <script> window.require = { config: function() { return function() {} } } </script> <script> window.Aedu = window.Aedu || {}; window.Aedu.hit_data = null; window.Aedu.serverRenderTime = new Date(1739823523000); window.Aedu.timeDifference = new Date().getTime() - 1739823523000; </script> <script type="application/ld+json">{"@context":"https://schema.org","@type":"ScholarlyArticle","abstract":"All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be classical solutions of the theory. While the solutions associated to null Killing vectors were essentially classified by Tod (a classification that we refine), we find new configurations and solutions associated to timelike Killing vectors that do not satisfy Tod\u0026amp;amp;#39;s rigidity hypothesis (hence, they have a non-trivial U(1) connection) and whose supersymmetry projector is associated to 1-dimensional objects (strings), although they have a trivial axion field.","author":[{"@context":"https://schema.org","@type":"Person","name":"Tomas Ortin","url":"https://independent.academia.edu/TomasOrtin"}],"contributor":[],"dateCreated":"2022-03-09","dateModified":"2022-03-09","datePublished":"2005-07-01","headline":"All the supersymmetric configurations of N=4,d=4 supergravity","image":"https://attachments.academia-assets.com/81956132/thumbnails/1.jpg","inLanguage":"en","keywords":["Physics","Nuclear Physics","Dimensional","Boolean 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{"work":{"id":73432422,"created_at":"2022-03-09T16:17:26.383-08:00","from_world_paper_id":198116401,"updated_at":"2025-01-04T05:39:01.678-08:00","_data":{"abstract":"All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be classical solutions of the theory. While the solutions associated to null Killing vectors were essentially classified by Tod (a classification that we refine), we find new configurations and solutions associated to timelike Killing vectors that do not satisfy Tod\u0026#39;s rigidity hypothesis (hence, they have a non-trivial U(1) connection) and whose supersymmetry projector is associated to 1-dimensional objects (strings), although they have a trivial axion field.","publication_date":"2005,7,1"},"document_type":"paper","pre_hit_view_count_baseline":null,"quality":"high","language":"en","title":"All the supersymmetric configurations of N=4,d=4 supergravity","broadcastable":true,"draft":null,"has_indexable_attachment":true,"indexable":true}}["work"]; window.loswp.workCoauthors = [14123327]; window.loswp.locale = "en"; window.loswp.countryCode = "SG"; window.loswp.cwvAbTestBucket = ""; window.loswp.designVariant = "ds_vanilla"; window.loswp.fullPageMobileSutdModalVariant = "control"; window.loswp.useOptimizedScribd4genScript = false; window.loginModal = {}; window.loginModal.appleClientId = 'edu.academia.applesignon'; window.userInChina = "false";</script><script defer="" src="https://accounts.google.com/gsi/client"></script><div class="ds-loswp-container"><div class="ds-work-card--grid-container"><div class="ds-work-card--container js-loswp-work-card"><div class="ds-work-card--cover"><div class="ds-work-cover--wrapper"><div class="ds-work-cover--container"><button class="ds-work-cover--clickable js-swp-download-button" data-signup-modal="{"location":"swp-splash-paper-cover","attachmentId":81956132,"attachmentType":"pdf"}"><img alt="First page of “All the supersymmetric configurations of N=4,d=4 supergravity”" class="ds-work-cover--cover-thumbnail" src="https://0.academia-photos.com/attachment_thumbnails/81956132/mini_magick20220309-31860-dr6ptm.png?1646871521" /><img alt="PDF Icon" class="ds-work-cover--file-icon" src="//a.academia-assets.com/images/single_work_splash/adobe_icon.svg" /><div class="ds-work-cover--hover-container"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span><p>Download Free PDF</p></div><div class="ds-work-cover--ribbon-container">Download Free PDF</div><div class="ds-work-cover--ribbon-triangle"></div></button></div></div></div><div class="ds-work-card--work-information"><h1 class="ds-work-card--work-title">All the supersymmetric configurations of N=4,d=4 supergravity</h1><div class="ds-work-card--work-authors ds-work-card--detail"><a class="ds-work-card--author js-wsj-grid-card-author ds2-5-body-md ds2-5-body-link" data-author-id="14123327" href="https://independent.academia.edu/TomasOrtin"><img alt="Profile image of Tomas Ortin" class="ds-work-card--author-avatar" src="https://gravatar.com/avatar/d422315ef2ff1cda00d6ee3f37692f50?s=65" />Tomas Ortin</a></div><div class="ds-work-card--detail"><p class="ds-work-card--detail ds2-5-body-sm">2005</p><div class="ds-work-card--work-metadata"><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">visibility</span><p class="ds2-5-body-sm" id="work-metadata-view-count">…</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">description</span><p class="ds2-5-body-sm">47 pages</p></div><div class="ds-work-card--work-metadata__stat"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">link</span><p class="ds2-5-body-sm">1 file</p></div></div><script>(async () => { const workId = 73432422; 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if (!viewCountBody) { throw new Error('Failed to find work views element'); } viewCountBody.textContent = `${commaizedViewCount} views`; } catch (error) { // Remove the whole views element if there was some issue parsing. document.getElementById('work-metadata-view-count')?.parentNode?.remove(); throw new Error(`Failed to parse view count: ${viewCount}`, error); } }; // If the DOM is still loading, wait for it to be ready before updating the view count. if (document.readyState === "loading") { document.addEventListener('DOMContentLoaded', () => { updateViewCount(viewCount); }); // Otherwise, just update it immediately. } else { updateViewCount(viewCount); } })();</script></div><p class="ds-work-card--work-abstract ds-work-card--detail ds2-5-body-md">All the supersymmetric configurations of pure, ungauged, N=4,d=4 supergravity are classified in a formalism that keeps manifest the S and T dualities of the theory. We also find simple equations that need to be satisfied by the configurations to be classical solutions of the theory. While the solutions associated to null Killing vectors were essentially classified by Tod (a classification that we refine), we find new configurations and solutions associated to timelike Killing vectors that do not satisfy Tod&#39;s rigidity hypothesis (hence, they have a non-trivial U(1) connection) and whose supersymmetry projector is associated to 1-dimensional objects (strings), although they have a trivial axion field.</p><div class="ds-work-card--button-container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--work-card","attachmentId":81956132,"attachmentType":"pdf","workUrl":"https://www.academia.edu/73432422/All_the_supersymmetric_configurations_of_N_4_d_4_supergravity"}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--work-card","attachmentId":81956132,"attachmentType":"pdf","workUrl":"https://www.academia.edu/73432422/All_the_supersymmetric_configurations_of_N_4_d_4_supergravity"}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div><div class="ds-signup-banner-trigger-container"><div class="ds-signup-banner-trigger ds-signup-banner-trigger-control"></div></div><div class="ds-signup-banner ds-signup-banner-control"><div id="ds-signup-banner-close-button"><button class="ds2-5-button ds2-5-button--secondary ds2-5-button--inverse"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">close</span></button></div><div class="ds-signup-banner-ctas"><img src="//a.academia-assets.com/images/academia-logo-capital-white.svg" /><h4 class="ds2-5-heading-serif-sm">Sign up for access to the world's latest research</h4><button class="ds2-5-button ds2-5-button--inverse ds2-5-button--full-width js-swp-download-button" data-signup-modal="{"location":"signup-banner"}">Sign up for free<span class="material-symbols-outlined" style="font-size: 20px" translate="no">arrow_forward</span></button></div><div class="ds-signup-banner-divider"></div><div class="ds-signup-banner-reasons"><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Get notified about relevant papers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Save papers to use in your research</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Join the discussion with peers</span></div><div class="ds-signup-banner-reasons-item"><span class="material-symbols-outlined" style="font-size: 24px" translate="no">check</span><span>Track your impact</span></div></div></div><script>(() => { // Set up signup banner show/hide behavior: // 1. 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The supersymmetric configurations fall into two classes, depending on the timelike or null nature of the Killing vector constructed from Killing spinor bilinears. The timelike class configurations are essentially the ones found by Behrndt, Lüst and Sabra, which exhaust this class and are the ones that include supersymmetric black holes. The null class configurations include pp-waves and cosmic strings.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The supersymmetric configurations of N = 2, d = 4 supergravity coupled to vector supermultiplets","attachmentId":39799265,"attachmentType":"pdf","work_url":"https://www.academia.edu/17957579/The_supersymmetric_configurations_of_N_2_d_4_supergravity_coupled_to_vector_supermultiplets","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/17957579/The_supersymmetric_configurations_of_N_2_d_4_supergravity_coupled_to_vector_supermultiplets"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="1" data-entity-id="112339713" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/112339713/The_supersymmetric_configurations_of_supergravity_coupled_to_vector_supermultiplets">The supersymmetric configurations of , supergravity coupled to vector supermultiplets</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14123327" href="https://independent.academia.edu/TomasOrtin">Tomas Ortin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Nuclear Physics B, 2006</p><p class="ds-related-work--abstract ds2-5-body-sm">We classify all the supersymmetric configurations of ungauged N = 2, d = 4 supergravity coupled to n vector multiplets and determine under which conditions they are also classical solutions of the equations of motion. The supersymmetric configurations fall into two classes, depending on the timelike or null nature of the Killing vector constructed from Killing spinor bilinears. The timelike class configurations are essentially the ones found by Behrndt, Lüst and Sabra, which exhaust this class and are the ones that include supersymmetric black holes. The null class configurations include pp-waves and cosmic strings.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The supersymmetric configurations of , supergravity coupled to vector supermultiplets","attachmentId":109600568,"attachmentType":"pdf","work_url":"https://www.academia.edu/112339713/The_supersymmetric_configurations_of_supergravity_coupled_to_vector_supermultiplets","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/112339713/The_supersymmetric_configurations_of_supergravity_coupled_to_vector_supermultiplets"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="2" data-entity-id="17957570" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/17957570/All_the_supersymmetric_solutions_of_N_1_d_5_ungauged_supergravity">All the supersymmetric solutions of N = 1, d = 5 ungauged supergravity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="37879129" href="https://uniovi.academia.edu/PatrickMeessen">Patrick Meessen</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of High Energy Physics, 2007</p><p class="ds-related-work--abstract ds2-5-body-sm">We classify the supersymmetric solutions of ungauged N = 1 d = 5 SUGRA coupled to vector multiplets and hypermultiplets. All the solutions can be seen as deformations of solutions with frozen hyperscalars. We show explicitly how the 5dimensional Reissner-Nordström black hole is deformed when hyperscalars are living on SO(4, 1)/SO(4) are turned on, reducing its supersymmetry from 1/2 to 1/8. We also describe in the timelike and null cases the solutions that have one extra isometry and can be reduced to N = 2, d = 4 solutions. Our formulae allows the uplifting of certain N = 2, d = 4 black holes to N = 1, d = 5 black holes on KK monopoles or to pp-waves propagating along black strings.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"All the supersymmetric solutions of N = 1, d = 5 ungauged supergravity","attachmentId":39799254,"attachmentType":"pdf","work_url":"https://www.academia.edu/17957570/All_the_supersymmetric_solutions_of_N_1_d_5_ungauged_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/17957570/All_the_supersymmetric_solutions_of_N_1_d_5_ungauged_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="3" data-entity-id="17956956" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/17956956/General_supersymmetric_solutions_of_five_dimensional_supergravity">General supersymmetric solutions of five-dimensional supergravity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="37878269" href="https://independent.academia.edu/WaficSabra">Wafic Sabra</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of High Energy Physics, 2005</p><p class="ds-related-work--abstract ds2-5-body-sm">The classification of 1/4-supersymmetric solutions of five dimensional gauged supergravity coupled to arbitrary many abelian vector multiplets, which was initiated in , is completed. The structure of all solutions for which the Killing vector constructed from the Killing spinor is null is investigated in both the gauged and the ungauged theories and some new solutions are constructed.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"General supersymmetric solutions of five-dimensional supergravity","attachmentId":39798879,"attachmentType":"pdf","work_url":"https://www.academia.edu/17956956/General_supersymmetric_solutions_of_five_dimensional_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/17956956/General_supersymmetric_solutions_of_five_dimensional_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="4" data-entity-id="18263068" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/18263068/A_note_on_the_uniqueness_of_D_4_N_1_supergravity">A note on the uniqueness of D = 4, N = 1 supergravity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="38334870" href="https://independent.academia.edu/MboyoEsole">Mboyo Esole</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="38246330" href="https://independent.academia.edu/NBoulanger">Nicolas Boulanger</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Classical and Quantum Gravity, 2002</p><p class="ds-related-work--abstract ds2-5-body-sm">We investigate in 4 spacetime dimensions, all the consistent deformations of the lagrangian L 2 + L 3 2 , which is the sum of the Pauli-Fierz lagrangian L 2 for a free massless spin 2 field and the Rarita-Schwinger lagrangian L 3 2 for a free massless spin 3/2 field.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"A note on the uniqueness of D = 4, N = 1 supergravity","attachmentId":42137319,"attachmentType":"pdf","work_url":"https://www.academia.edu/18263068/A_note_on_the_uniqueness_of_D_4_N_1_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/18263068/A_note_on_the_uniqueness_of_D_4_N_1_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="5" data-entity-id="79722198" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/79722198/Supersymmetric_solutions_of_4_dimensional_supergravities">Supersymmetric solutions of 4-dimensional supergravities</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14123327" href="https://independent.academia.edu/TomasOrtin">Tomas Ortin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Supersymmetric solutions of 4-dimensional supergravities","attachmentId":86340862,"attachmentType":"pdf","work_url":"https://www.academia.edu/79722198/Supersymmetric_solutions_of_4_dimensional_supergravities","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/79722198/Supersymmetric_solutions_of_4_dimensional_supergravities"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="6" data-entity-id="17957545" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/17957545/All_the_timelike_supersymmetric_solutions_of_all_ungauged_d_4_supergravities">All the timelike supersymmetric solutions of all ungauged d=4 supergravities</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="37879129" href="https://uniovi.academia.edu/PatrickMeessen">Patrick Meessen</a><span>, </span><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="48690296" href="https://independent.academia.edu/SilviaVaul%C3%A0">Silvia Vaulà</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2010</p><p class="ds-related-work--abstract ds2-5-body-sm">We determine the form of all timelike supersymmetric solutions of all N ≥ 2, d = 4 ungauged supergravities, for N ≤ 4 coupled to vector supermultiplets, using the Usp(n,n)symmetric formulation of Andrianopoli, D'Auria and Ferrara and the spinor-bilinears method, while preserving the global symmetries of the theories all the way.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"All the timelike supersymmetric solutions of all ungauged d=4 supergravities","attachmentId":41979441,"attachmentType":"pdf","work_url":"https://www.academia.edu/17957545/All_the_timelike_supersymmetric_solutions_of_all_ungauged_d_4_supergravities","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/17957545/All_the_timelike_supersymmetric_solutions_of_all_ungauged_d_4_supergravities"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="7" data-entity-id="77517983" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/77517983/The_complete_form_of_N_2_supergravity_and_its_place_in_the_general_framework_of_D_4_N_extended_supergravities">The complete form of N = 2 supergravity and its place in the general framework of D = 4 N-extended supergravities</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="125698584" href="https://unito.academia.edu/PietroFre">Pietro Fre</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Nuclear Physics B - Proceedings Supplements, 1997</p><p class="ds-related-work--abstract ds2-5-body-sm">Relying on the geometrical set up of Special K ahler Geometry and Quaternionic Geometry, which I discussed at length in my Lectures at the 1995 edition of this Spring School, I present here the recently obtained fully general form of N=2 supergravity with completely arbitrary couplings. This lagrangian has already been used in the literature to obtain various results: notably the partial breaking of supersymmetry and various extremal black{hole solutions. My emphasis, however, is only on providing the reader with a completely explicit and ready to use component expression of the supergravity action. All the details of the derivation are omitted but all the denitions of the items entering the lagrangian and the supersymmetry transformation rules are given.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The complete form of N = 2 supergravity and its place in the general framework of D = 4 N-extended supergravities","attachmentId":84863590,"attachmentType":"pdf","work_url":"https://www.academia.edu/77517983/The_complete_form_of_N_2_supergravity_and_its_place_in_the_general_framework_of_D_4_N_extended_supergravities","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/77517983/The_complete_form_of_N_2_supergravity_and_its_place_in_the_general_framework_of_D_4_N_extended_supergravities"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="8" data-entity-id="17956952" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/17956952/Half_supersymmetric_solutions_in_five_dimensional_supergravity">Half-supersymmetric solutions in five-dimensional supergravity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="37878269" href="https://independent.academia.edu/WaficSabra">Wafic Sabra</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of High Energy Physics, 2007</p><p class="ds-related-work--abstract ds2-5-body-sm">We classify half-supersymmetric solutions of gauged N = 2, D = 5 supergravity coupled to an arbitrary number of abelian vector multiplets for which all of the Killing spinors generate null Killing vectors. We show that there are four classes of solutions, and in each class we find the metric, scalars and gauge field strengths. When the scalar manifold is symmetric, the solutions correspond to a class of local near horizon geometries recently found by Kunduri and Lucietti.</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Half-supersymmetric solutions in five-dimensional supergravity","attachmentId":39798867,"attachmentType":"pdf","work_url":"https://www.academia.edu/17956952/Half_supersymmetric_solutions_in_five_dimensional_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/17956952/Half_supersymmetric_solutions_in_five_dimensional_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-wsj-grid-card" data-collection-position="9" data-entity-id="92362426" data-sort-order="default"><a class="ds-related-work--title js-wsj-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/92362426/The_supersymmetric_tensor_hierarchy_ofN_1_d_4_supergravity">The supersymmetric tensor hierarchy ofN= 1,d= 4 supergravity</a><div class="ds-related-work--metadata"><a class="js-wsj-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="48717732" href="https://independent.academia.edu/MechthildHuebscher">Mechthild Huebscher</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of High Energy Physics, 2009</p><p class="ds-related-work--abstract ds2-5-body-sm">In this paper we construct the supersymmetric tensor hierarchy of N=1, d=4 supergravity. We find some differences with the general bosonic construction of 4dimensional gauged supergravities. The global symmetry group of N = 1, d = 4 supergravity consists of three factors: the scalar manifold isometry group, the invariance group of the complex vector kinetic matrix and the U (1) R-symmetry group. In contrast to (half)-maximal supergravities, the latter two symmetries are not embedded into the isometry group of the scalar manifold. We identify some components of the embedding tensor with Fayet-Iliopoulos terms and we find that supersymmetry implies that the inclusion of R-symmetry as a factor of the global symmetry group requires a non-trivial extension of the standard p-form hierarchy. This extension involves additional 3-and 4-forms. One additional 3-form is dual to the superpotential (seen as a deformation of the simplest theory). We study the closure of the supersymmetry algebra on all the bosonic p-form fields of the hierarchy up to duality relations. In order to close the supersymmetry algebra without the use of duality relations one must construct the hierarchy in terms of supermultiplets. Such a construction requires fermionic duality relations among the hierarchy's fermions and these turn out to be local. Contents 1 Introduction 2 Electrically gauged N = 1, d = 4 supergravity 5 2.1 Ungauged N = 1, d = 4 supergravity .</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"The supersymmetric tensor hierarchy ofN= 1,d= 4 supergravity","attachmentId":95391078,"attachmentType":"pdf","work_url":"https://www.academia.edu/92362426/The_supersymmetric_tensor_hierarchy_ofN_1_d_4_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-wsj-grid-card-view-pdf" href="https://www.academia.edu/92362426/The_supersymmetric_tensor_hierarchy_ofN_1_d_4_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div></div></div><div class="ds-sticky-ctas--wrapper js-loswp-sticky-ctas hidden"><div class="ds-sticky-ctas--grid-container"><div class="ds-sticky-ctas--container"><button class="ds2-5-button js-swp-download-button" data-signup-modal="{"location":"continue-reading-button--sticky-ctas","attachmentId":81956132,"attachmentType":"pdf","workUrl":null}">See full PDF</button><button class="ds2-5-button ds2-5-button--secondary js-swp-download-button" data-signup-modal="{"location":"download-pdf-button--sticky-ctas","attachmentId":81956132,"attachmentType":"pdf","workUrl":null}"><span class="material-symbols-outlined" style="font-size: 20px" translate="no">download</span>Download PDF</button></div></div></div><div class="ds-below-fold--grid-container"><div class="ds-work--container js-loswp-embedded-document"><div class="attachment_preview" data-attachment="Attachment_81956132" style="display: none"><div class="js-scribd-document-container"><div class="scribd--document-loading js-scribd-document-loader" style="display: block;"><img alt="Loading..." src="//a.academia-assets.com/images/loaders/paper-load.gif" /><p>Loading Preview</p></div></div><div style="text-align: center;"><div class="scribd--no-preview-alert js-preview-unavailable"><p>Sorry, preview is currently unavailable. 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href="https://www.academia.edu/33281202/D_4_N_1_supergravity_in_superspace_general_overview_and_technical_analysis"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div class="ds-related-work--container js-related-work-sidebar-card" data-collection-position="8" data-entity-id="79722208" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/79722208/The_supersymmetric_black_holes_of_N_8_supergravity">The supersymmetric black holes of N=8 supergravity</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14123327" href="https://independent.academia.edu/TomasOrtin">Tomas Ortin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2012</p><div class="ds-related-work--ctas"><button 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href="https://www.academia.edu/102085485/D_4_N_2_Gauged_Supergravity">D = 4, N = 2 Gauged Supergravity</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="117899319" href="https://independent.academia.edu/DAuriaRiccardo">Riccardo D'Auria</a></div><p class="ds-related-work--metadata ds2-5-body-xs">2003</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"D = 4, N = 2 Gauged Supergravity","attachmentId":102444199,"attachmentType":"pdf","work_url":"https://www.academia.edu/102085485/D_4_N_2_Gauged_Supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline 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2012</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Classification of BPS instantons in N = 4 D = 4 supergravity","attachmentId":70037845,"attachmentType":"pdf","work_url":"https://www.academia.edu/53084841/Classification_of_BPS_instantons_in_N_4_D_4_supergravity","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/53084841/Classification_of_BPS_instantons_in_N_4_D_4_supergravity"><span class="ds2-5-text-link__content">View PDF</span><span class="material-symbols-outlined" style="font-size: 18px" translate="no">chevron_right</span></a></div></div><div 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data-entity-id="112339699" data-sort-order="default"><a class="ds-related-work--title js-related-work-grid-card-title ds2-5-body-md ds2-5-body-link" href="https://www.academia.edu/112339699/On_timelike_supersymmetric_solutions_of_gauged_minimal_5_dimensional_supergravity">On timelike supersymmetric solutions of gauged minimal 5-dimensional supergravity</a><div class="ds-related-work--metadata"><a class="js-related-work-grid-card-author ds2-5-body-sm ds2-5-body-link" data-author-id="14123327" href="https://independent.academia.edu/TomasOrtin">Tomas Ortin</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Journal of High Energy Physics, 2017</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"On timelike supersymmetric solutions of gauged minimal 5-dimensional 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data-author-id="125698584" href="https://unito.academia.edu/PietroFre">Pietro Fre</a></div><p class="ds-related-work--metadata ds2-5-body-xs">Annals of Physics, 1981</p><div class="ds-related-work--ctas"><button class="ds2-5-text-link ds2-5-text-link--inline js-swp-download-button" data-signup-modal="{"location":"wsj-grid-card-download-pdf-modal","work_title":"Geometrical first order supergravity in five space time dimensions","attachmentId":84863526,"attachmentType":"pdf","work_url":"https://www.academia.edu/77517918/Geometrical_first_order_supergravity_in_five_space_time_dimensions","alternativeTracking":true}"><span class="material-symbols-outlined" style="font-size: 18px" translate="no">download</span><span class="ds2-5-text-link__content">Download free PDF</span></button><a class="ds2-5-text-link ds2-5-text-link--inline js-related-work-grid-card-view-pdf" href="https://www.academia.edu/77517918/Geometrical_first_order_supergravity_in_five_space_time_dimensions"><span 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