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John Schwarz in nLab
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width: 0.3em;"></span> <a href="/nlab/show/HomePage" accesskey="H" title="Home page">Home Page</a> | <a href="/nlab/all_pages" accesskey="A" title="List of all pages">All Pages</a> | <a href="/nlab/latest_revisions" accesskey="U" title="Latest edits and page creations">Latest Revisions</a> | <a href="https://nforum.ncatlab.org/discussion/13071/#Item_1" title="Discuss this page in its dedicated thread on the nForum" style="color: black">Discuss this page</a> | <form accept-charset="utf-8" action="/nlab/search" id="navigationSearchForm" method="get"> <fieldset class="search"><input type="text" id="searchField" name="query" value="Search" style="display:inline-block; float: left;" onfocus="this.value == 'Search' ? this.value = '' : true" onblur="this.value == '' ? this.value = 'Search' : true" /></fieldset> </form> <span id='navEnd'></span> </div> <div id="revision"> <html xmlns="http://www.w3.org/1999/xhtml" xmlns:svg="http://www.w3.org/2000/svg" xml:lang="en" lang="en"> <head><meta http-equiv="Content-type" content="application/xhtml+xml;charset=utf-8" /><title></title></head> <body> <p>Co-founder of <a class="existingWikiWord" href="/nlab/show/string+theory">string theory</a>.</p> <ul> <li> <p><a href="http://en.wikipedia.org/wiki/John_Henry_Schwarz">Wikipedia entry</a></p> </li> <li> <p><a href="https://www.aip.org/history-programs/niels-bohr-library/oral-histories/45439">Interview by D. Zierler</a>, AIP Oral History Interviews, July 2020</p> </li> </ul> <h2 id="selected_writings">Selected writings</h2> <p>On the <a class="existingWikiWord" href="/nlab/show/NSR+superstring">NSR superstring</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Andr%C3%A9+Neveu">André Neveu</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Factorizable dual model of pions</em>, Nucl. Phys. B31, 86 (1971) (<a href="https://doi.org/10.1016/0550-3213(71)90448-2">doi:10.1016/0550-3213(71)90448-2</a>)</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/Scherk-Schwarz+mechanism">Scherk-Schwarz mechanism</a>:</p> <ul> <li id="ScherkSchwarz79"> <p><a class="existingWikiWord" href="/nlab/show/Jo%C3%ABl+Scherk">Joël Scherk</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Spontaneous breaking of supersymmetry through dimensional reduction</em>, Physics Letters B Volume 82, Issue 1, 12 March 1979, Pages 60-64 (<a href="https://doi.org/10.1016/0370-2693(79)90425-8">doi:10.1016/0370-2693(79)90425-8</a>)</p> </li> <li id="ScherkSchwarz89"> <p><a class="existingWikiWord" href="/nlab/show/Jo%C3%ABl+Scherk">Joël Scherk</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>How to get masses from extra dimensions</em>, in: Supergravities in Diverse Dimensions, pp. 1282-1309 (1989) (<a href="https://doi.org/10.1142/9789814542340_0083">doi:10.1142/9789814542340_0083</a>)</p> </li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+superstring">Green-Schwarz superstring</a>:</p> <ul> <li id="GreenSchwarz81"> <p><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Supersymmetrical Dual String Theory</em>, Nucl. Phys. B 181 (1981) 502;</p> </li> <li id="GreenSchwarz82"> <p><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Supersymmetrical Dual String Theory. 2. Vertices and Trees</em>, Nucl. Phys. B 198 (1982) 252.</p> </li> <li id="GreenSchwarz84"> <p><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Covariant description of superstrings</em>, Phys. Lett. B136 (1984), 367–370 (<a href="http://inspirehep.net/record/193596">spire:193596</a>, <a href="https://doi.org/10.1016/0370-2693(84)92021-5">arXiv;10.1016/0370-2693(84)92021-5</a>)</p> </li> <li id="GreenSchwarz84b"> <p><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Properties of the Covariant Formulation of Superstring Theories</em>, Nucl. Phys. B 243 (1984) 285 (<a href="http://inspirehep.net/record/196623">spire:196623</a>, <a href="https://doi.org/10.1016/0550-3213(84)90030-0">doi:10.1016/0550-3213(84)90030-0</a>)</p> </li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+mechanism">Green-Schwarz mechanism</a> of <a class="existingWikiWord" href="/nlab/show/anomaly+cancellation">anomaly cancellation</a> in <a class="existingWikiWord" href="/nlab/show/heterotic+string+theory">heterotic string theory</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Anomaly Cancellation in Supersymmetric <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>D</mi><mo>=</mo><mn>10</mn></mrow><annotation encoding="application/x-tex">D=10</annotation></semantics></math> Gauge Theory and Superstring Theory</em>, Phys. Lett. B 149 (1984) 117-122 (<a href="https://inspirehep.net/literature/15583">spire:15583</a>, <a href="https://doi.org/10.1016/0370-2693(84)91565-X">doi:10.1016/0370-2693(84)91565-X</a>)</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+mechanism">Green-Schwarz mechanism</a> and <a class="existingWikiWord" href="/nlab/show/KK-compactification">KK-compactification</a> of <a class="existingWikiWord" href="/nlab/show/heterotic+supergravity">heterotic supergravity</a>/<a class="existingWikiWord" href="/nlab/show/heterotic+superstring">heterotic superstring</a> to 6 dimensions (see also at <a class="existingWikiWord" href="/nlab/show/D%3D6+N%3D%281%2C0%29+SCFT">D=6 N=(1,0) SCFT</a>):</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Michael+Green">Michael Green</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <a class="existingWikiWord" href="/nlab/show/Pete+West">Pete West</a>, <em>Anomaly-free chiral theories in six dimensions</em>, Nuclear Physics B <strong>254</strong> (1985) Pages 327-348 (<a href="https://doi.org/10.1016/0550-3213(85)90222-6">doi:10.1016/0550-3213(85)90222-6</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/anomaly+cancellation">anomaly cancellation</a> in <a class="existingWikiWord" href="/nlab/show/supergravity">supergravity</a>/<a class="existingWikiWord" href="/nlab/show/string+theory">string theory</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+H.+Schwarz">John H. Schwarz</a>, <em>Anomaly Cancellation: A Retrospective From a Modern Perspective</em> (2001) [<a href="https://doi.org/10.1142/9789812778185_0014">doi:10.1142/9789812778185_0014</a>, <a href="https://cds.cern.ch/record/508470/files/0107059.pdf">pdf</a>]</li> </ul> <p>Review of the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+superstring">Green-Schwarz superstring</a> on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mi>Ads</mi> <mn>5</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>5</mn></msup></mrow><annotation encoding="application/x-tex">Ads_5 \times S^5</annotation></semantics></math> in light of the <a class="existingWikiWord" href="/nlab/show/AdS%2FCFT+correspondence">AdS/CFT correspondence</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>The <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><msub><mi>AdS</mi> <mn>5</mn></msub><mo>×</mo><msup><mi>S</mi> <mn>5</mn></msup></mrow><annotation encoding="application/x-tex">AdS_5 \times S^5</annotation></semantics></math> Superstring</em> (<a href="https://arxiv.org/abs/2004.09661">arXiv:2004.09661</a>)</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/self-dual+string">self-dual string</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Self-Dual Superstring in Six Dimensions</em> (<a href="https://arxiv.org/abs/hep-th/9604171">arXiv:hep-th/9604171</a>)</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/T-duality">T-duality</a> in <a class="existingWikiWord" href="/nlab/show/M-theory">M-theory</a> (<a class="existingWikiWord" href="/nlab/show/F-theory">F-theory</a>):</p> <ul> <li id="Schwarz96"><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>: <em>M Theory Extensions of T Duality</em>, in: <em>Frontiers in Quantum Field Theory</em>, World Scientific (1996) 3-14 [<a href="https://arxiv.org/abs/hep-th/9601077">arXiv:hep-th/9601077</a>, <a href="https://doi.org/10.1142/3245">doi:10.1142/3245</a>]</li> </ul> <p>On the <a class="existingWikiWord" href="/nlab/show/Perry-Schwarz+action">Perry-Schwarz action</a> for the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+sigma-model">Green-Schwarz sigma-model</a> of the <a class="existingWikiWord" href="/nlab/show/M5-brane">M5-brane</a> with the <a class="existingWikiWord" href="/nlab/show/self-dual+higher+gauge+field">self-dual higher gauge field</a> after <a class="existingWikiWord" href="/nlab/show/KK-compactification">KK-compactification</a> to 5d (and <a class="existingWikiWord" href="/nlab/show/double+dimensional+reduction">double dimensional reduction</a> to the <a class="existingWikiWord" href="/nlab/show/D4-brane">D4-brane</a>):</p> <ul> <li id="PerrySchwarz96"> <p><a class="existingWikiWord" href="/nlab/show/Malcolm+Perry">Malcolm Perry</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Interacting Chiral Gauge Fields in Six Dimensions and Born-Infeld Theory</em>, Nucl. Phys. B489 (1997) 47-64 (<a href="http://arxiv.org/abs/hep-th/9611065">arXiv:hep-th/9611065</a>)</p> </li> <li id="Schwarz97"> <p><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Coupling a Self-Dual Tensor to Gravity in Six Dimensions</em>, Phys. Lett. B395:191-195, 1997 (<a href="http://cds.cern.ch/record/317663/files/9701008.pdf">pdf</a>, <a href="https://doi.org/10.1016/S0370-2693(97)00094-4">doi:10.1016/S0370-2693(97)00094-4</a>)</p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Mina+Aganagic">Mina Aganagic</a>, <a class="existingWikiWord" href="/nlab/show/Jaemo+Park">Jaemo Park</a>, Costin Popescu, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>World-Volume Action of the M Theory Five-Brane</em> (<a href="http://arxiv.org/abs/hep-th/9701166">arXiv:hep-th/9701166</a>)</p> </li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+sigma-models">Green-Schwarz sigma-models</a> for <a class="existingWikiWord" href="/nlab/show/D-branes">D-branes</a>:</p> <ul> <li id="APPS97b"><a class="existingWikiWord" href="/nlab/show/Mina+Aganagic">Mina Aganagic</a>, <a class="existingWikiWord" href="/nlab/show/Jaemo+Park">Jaemo Park</a>, Costin Popescu, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Dual D-Brane Actions</em>, Nucl. Phys. B496 (1997) 215-230 (<a href="https://arxiv.org/abs/hep-th/9702133">arXiv:hep-th/9702133</a>)</li> </ul> <p>Early review of <a class="existingWikiWord" href="/nlab/show/M-theory">M-theory</a> and <a class="existingWikiWord" href="/nlab/show/AdS%2FCFT+duality">AdS/CFT duality</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Introduction to M Theory and AdS/CFT Duality</em>, in: <em>Quantum Aspects of Gauge Theories, Supersymmetry and Unification</em> Lecture Notes in Physics <strong>525</strong>, Springer (1999) [<a href="https://arxiv.org/abs/hep-th/9812037">arXiv:hep-th/9812037</a>, <a href="https://doi.org/10.1007/BFb0104239">doi:10.1007/BFb0104239</a>]</li> </ul> <p>On <a class="existingWikiWord" href="/nlab/show/type+I%27+string+theory">type I' string theory</a>:</p> <ul> <li id="Schwarz00"><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Some Properties of Type I’ String Theory</em>, in: <a class="existingWikiWord" href="/nlab/show/Mikhail+Shifman">Mikhail Shifman</a> (ed.), <em><a class="existingWikiWord" href="/nlab/show/The+Many+Faces+of+the+Superworld">The Many Faces of the Superworld</a></em>, pp. 388-397 (2000) (<a href="https://arxiv.org/abs/hep-th/9907061">arXiv:hep-th/9907061</a>, <a href="https://doi.org/10.1142/9789812793850_0023">doi:10.1142/9789812793850_0023</a>)</li> </ul> <p>Review of <a class="existingWikiWord" href="/nlab/show/dualities+in+string+theory">dualities in string theory</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>Lectures on Superstring and M Theory Dualities</em>, Nucl. Phys. Proc. Suppl. 55B:1-32, 1997 (<a href="https://arxiv.org/abs/hep-th/9607201">arXiv:hep-th/9607201</a>)</li> </ul> <p>On the history of <a class="existingWikiWord" href="/nlab/show/string+theory">string theory</a>:</p> <ul> <li> <p><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>The Early Years of String Theory: A Personal Perspective</em> (<a href="http://arxiv.org/abs/0708.1917">arXiv:0708.1917</a>), published as <em>Gravity, unification, and the superstring</em>, in Filippo Colomo, <a class="existingWikiWord" href="/nlab/show/Paolo+Di+Vecchia">Paolo Di Vecchia</a> (eds.) <em>The birth of string theory</em>, Cambridge University Press, (2011) (<a href="https://doi.org/10.1017/CBO9780511977725.005">doi:10.1017/CBO9780511977725.005</a>)</p> <p>(on the early history of <a class="existingWikiWord" href="/nlab/show/string+theory">string theory</a> up to the “first superstring revolution”, the construction of the <a class="existingWikiWord" href="/nlab/show/Green-Schwarz+anomaly+cancellation">Green-Schwarz-anomaly</a>-free <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline" class="maruku-mathml"><semantics><mrow><mi>SO</mi><mo stretchy="false">(</mo><mn>32</mn><mo stretchy="false">)</mo></mrow><annotation encoding="application/x-tex">SO(32)</annotation></semantics></math> <a class="existingWikiWord" href="/nlab/show/type+I+string+theory">type I string theory</a> and <a class="existingWikiWord" href="/nlab/show/heterotic+string">heterotic string</a>)</p> </li> <li id="Schwarz96"> <p><a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>The Second Superstring Revolution</em>, Colloquium-level lecture presented at the Sakharov Conference (Moscow, May 1996), in: Proceedings of <em>COSMION 96: 2nd International Conference on Cosmo Particle Physics</em> Dedicated to the 75th Anniversary of Andrei D. Sakharov. 1996. (<a href="https://arxiv.org/abs/hep-th/9607067">arXiv:hep-th/9607067</a>, <a href="https://inspirehep.net/conferences/969846">spire:969846</a>)</p> <blockquote> <p>(on the “second superstring revolution”: the realization of <a class="existingWikiWord" href="/nlab/show/D-branes">D-branes</a>, <a class="existingWikiWord" href="/nlab/show/dualities+in+string+theory">dualities in string theory</a> and <a class="existingWikiWord" href="/nlab/show/M-theory">M-theory</a>)</p> </blockquote> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/John+H.+Schwarz">John H. Schwarz</a>: <em>From Hadrons to Gravitons via Strings</em>, in: <em>Fields, Gravity, Strings and Beyond: In Memory of Stanley Deser</em> [<a href="https://arxiv.org/abs/2412.16885">arXiv:2412.16885</a>]</p> </li> </ul> <p>Textbook account of <a class="existingWikiWord" href="/nlab/show/perturbative+string+theory">perturbative string theory</a> and <a class="existingWikiWord" href="/nlab/show/M-theory">M-theory</a>/<a class="existingWikiWord" href="/nlab/show/F-theory">F-theory</a>:</p> <ul> <li><a class="existingWikiWord" href="/nlab/show/Katrin+Becker">Katrin Becker</a>, <a class="existingWikiWord" href="/nlab/show/Melanie+Becker">Melanie Becker</a>, <a class="existingWikiWord" href="/nlab/show/John+Schwarz">John Schwarz</a>, <em>String Theory and M-Theory: A Modern Introduction</em>, Cambridge University Press 2006 (<a href="https://doi.org/10.1017/CBO9780511816086">doi:10.1017/CBO9780511816086</a>)</li> </ul> <h2 id="related_entries">Related entries</h2> <ul> <li> <p><a class="existingWikiWord" href="/nlab/show/string+theory">string theory</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/spinning+string">spinning string</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Green-Schwarz+superstring">Green-Schwarz superstring</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Green-Schwarz+sigma-model">Green-Schwarz sigma-model</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Green-Schwarz+mechanism">Green-Schwarz mechanism</a></p> </li> <li> <p><a class="existingWikiWord" href="/nlab/show/Perry-Schwarz+action">Perry-Schwarz action</a></p> </li> </ul> <div class="property">category: <a class="category_link" href="/nlab/all_pages/people">people</a></div></body></html> </div> <div class="revisedby"> <p> Last revised on December 27, 2024 at 21:20:56. 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