Super p-Brane Theory Emerging from Super Homotopy Theory

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class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5802996" data-lb-caption-desc="Urs Schreiber · Jul 14, 2017 at 8:44 AM"> <article class="message-body js-selectToQuote"> <div > <div class="bbWrapper"><a href="https://www.physicsforums.com/insights/author/urs-schreiber/" class="link link--internal">Urs Schreiber</a> submitted a new PF Insights post<br /> <br /> <a href="https://www.physicsforums.com/insights/super-p-brane-theory-emerging-super-homotopy-theory/" class="link link--internal">Super p-Brane Theory Emerging from Super Homotopy Theory</a><br /> <script class="js-extraPhrases" type="application/json"> { "lightbox_close": "Close", "lightbox_next": "Next", "lightbox_previous": "Previous", "lightbox_error": "The requested content cannot be loaded. 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<bdi>Greg Bernhardt</bdi> </div> <div class="js-historyTarget message-historyTarget toggleTarget" data-href="trigger-href"></div> </footer> </div> </div> </div> </article>  <div class="message-cell message-cell--main" id="post-physorg"> <a href="https://phys.org/physics-news/" target="_blank">Physics news</a> on Phys.org <ul class="phys_items"> <li><a href="https://phys.org/news/2025-02-unexpected-nucleus-prompts-reevaluation-atomic.html" target="_blank">Unexpected shape of lead-208 nucleus prompts reevaluation of atomic nuclei models</a></li> <li><a href="https://phys.org/news/2025-02-scientists-elusive-liquid-transition-deep.html" target="_blank">Scientists map elusive liquid-liquid transition point using deep neural network</a></li> <li><a href="https://phys.org/news/2025-02-links-disparate-pion-reactions-nuclear.html" target="_blank">New calculation links disparate pion reactions in nuclear physics</a></li> </ul> </div> <article class="message message--post js-post js-inlineModContainer " data-author="arivero" data-content="post-5803078" id="js-post-5803078" itemscope itemtype="https://schema.org/Comment" itemid="https://www.physicsforums.com/posts/5803078/"> <meta itemprop="parentItem" itemscope itemid="https://www.physicsforums.com/threads/super-p-brane-theory-emerging-from-super-homotopy-theory-comments.920114/" /> <span class="u-anchorTarget" id="post-5803078"></span> <div class="message-header"> <header class="message-attribution message-attribution--split"> <ul class="message-attribution-main listInline "> <li class="u-concealed"> <time class="u-dt" dir="auto" datetime="2017-07-14T11:50:17-0500" data-time="1500051017" data-date-string="Jul 14, 2017" data-time-string="11:50 AM" title="Jul 14, 2017 at 11:50 AM" itemprop="datePublished">Jul 14, 2017</time> </li> </ul> <ul class="message-attribution-opposite message-attribution-opposite--list "> <li> <span style="cursor:pointer;" data-xf-init="share-tooltip" data-href="/posts/5803078/share" 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data-xf-init="tooltip" title="Messages"></i></dt> <dd>3,481</dd> </dl> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-thumbs-up fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Reaction score"></i></dt> <dd>175</dd> </dl> </div> <span class="message-userArrow"></span> </section> </div> <div class="message-cell message-cell--main"> <div class="message-main js-quickEditTarget"> <div class="message-content js-messageContent"> <div class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5803078" data-lb-caption-desc="arivero · Jul 14, 2017 at 11:50 AM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper">Well, I like the bottleneck in D=9 in the last diagram.</div> </div> <div class="js-selectToQuoteEnd"> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta 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datetime="2017-07-14T14:46:44-0500" data-time="1500061604" data-date-string="Jul 14, 2017" data-time-string="2:46 PM" title="Jul 14, 2017 at 2:46 PM" itemprop="datePublished">Jul 14, 2017</time> </li> </ul> <ul class="message-attribution-opposite message-attribution-opposite--list "> <li> <span style="cursor:pointer;" data-xf-init="share-tooltip" data-href="/posts/5803166/share" aria-label="Share" role="button" rel="nofollow"> <i class="fa--xf fal fa-share-alt" aria-hidden="true"></i> </span> </li> <li> #3 </li> </ul> </header> </div> <div class="message-inner"> <div class="message-cell message-cell--user"> <section class="message-user" itemprop="author" itemscope itemtype="https://schema.org/Person" itemid="https://www.physicsforums.com/members/greg-bernhardt.1/"> <meta itemprop="url" content="https://www.physicsforums.com/members/greg-bernhardt.1/" /> <div class="message-userDetails"> <span class="message-name"><a href="/members/greg-bernhardt.1/" class="username " dir="auto" 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</dl> </div> <span class="message-userArrow"></span> </section> </div> <div class="message-cell message-cell--main"> <div class="message-main js-quickEditTarget"> <div class="message-content js-messageContent"> <div class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5803166" data-lb-caption-desc="Greg Bernhardt · Jul 14, 2017 at 2:46 PM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper">A great addition to a wonderful series!</div> </div> <div class="js-selectToQuoteEnd"> </div> <div class="googleads_fixed"> <script async src="https://pagead2.googlesyndication.com/pagead/js/adsbygoogle.js?client=ca-pub-6580726045122001" crossorigin="anonymous"></script>  <ins class="adsbygoogle" style="display:block" data-ad-client="ca-pub-6580726045122001" data-ad-slot="5961342082" data-ad-format="auto" data-full-width-responsive="true"></ins> <script> (adsbygoogle = window.adsbygoogle || []).push({}); </script> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta itemprop="userInteractionCount" content="0" /> <meta itemprop="interactionType" content="https://schema.org/LikeAction" /> </div> <div class="reactionsBar js-reactionsList "> </div> <div class="js-historyTarget message-historyTarget toggleTarget" data-href="trigger-href"></div> </footer> </div> </div> </div> </article>  <article class="message message--post js-post js-inlineModContainer " data-author="Urs Schreiber" data-content="post-5803181" id="js-post-5803181" itemscope itemtype="https://schema.org/Comment" itemid="https://www.physicsforums.com/posts/5803181/"> <meta itemprop="parentItem" itemscope itemid="https://www.physicsforums.com/threads/super-p-brane-theory-emerging-from-super-homotopy-theory-comments.920114/" /> <span class="u-anchorTarget" id="post-5803181"></span> <div class="message-header"> <header class="message-attribution message-attribution--split"> <ul class="message-attribution-main listInline "> <li class="u-concealed"> <time class="u-dt" dir="auto" datetime="2017-07-14T15:36:46-0500" data-time="1500064606" data-date-string="Jul 14, 2017" data-time-string="3:36 PM" title="Jul 14, 2017 at 3:36 PM" itemprop="datePublished">Jul 14, 2017</time> </li> </ul> <ul class="message-attribution-opposite message-attribution-opposite--list "> <li> <span style="cursor:pointer;" data-xf-init="share-tooltip" data-href="/posts/5803181/share" aria-label="Share" role="button" rel="nofollow"> <i class="fa--xf fal fa-share-alt" aria-hidden="true"></i> </span> </li> <li> #4 </li> </ul> </header> </div> <div class="message-inner"> <div class="message-cell message-cell--user"> <section class="message-user" itemprop="author" itemscope itemtype="https://schema.org/Person" itemid="https://www.physicsforums.com/members/urs-schreiber.567385/"> <meta itemprop="url" 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Support PF"> <i class="fa--xf fal fa-star" aria-hidden="true"></i><span> Gold Member</span> </div> </div>  </div> <div class="message-userExtras"> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-comments fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Messages"></i></dt> <dd>573</dd> </dl> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-thumbs-up fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Reaction score"></i></dt> <dd>676</dd> </dl> </div> <span class="message-userArrow"></span> </section> </div> <div class="message-cell message-cell--main"> <div class="message-main js-quickEditTarget"> <div class="message-content js-messageContent"> <div class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5803181" data-lb-caption-desc="Urs Schreiber · Jul 14, 2017 at 3:36 PM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper"><blockquote data-attributes="member: 81" data-quote="arivero" data-source="post: 5803078" class="bbCodeBlock bbCodeBlock--expandable bbCodeBlock--quote js-expandWatch"> <div class="bbCodeBlock-title"> arivero said: </div> <div class="bbCodeBlock-content"> <div class="bbCodeBlock-expandContent js-expandContent "> I like the bottleneck in D=9 in the last diagram. </div> </div> </blockquote><br /> Sorry for having referred to the article for details towards the end. I now went and added a little more text to go with that last diagram. Because the reason for its hour glass look is not that there is a bottleneck in the extension process here, but because towards the right the diagram shows cocycles, and to the left it shows the homotopy fibers of these cocycles.<br /> <br /> Namely on the right is shown the double dimensional reduction of the F1/Dp-brane cocycles for d=10 type IIA and type IIB, respectively. The triangle on the right expresses that down in 9 these become equivalent. This is T-duality on the cocycle level. Specifically, it turns out that in components this equivalence is the Buscher rule for RR-fields (derived thereby, from first principles). Now by functoriality of homotopy fibers, also the extensions classified by these cocycles become equivalent, and this is expressed by the triangle on the left. These equivalent extensions thus classified turn out to be the doubled superspacetimes with their B-field generalized geometry, and their equivalence is hence T-duality made manifest as a symmetry of the doubled spacetime.</div> </div> <div class="js-selectToQuoteEnd"> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta itemprop="userInteractionCount" content="1" /> <meta itemprop="interactionType" content="https://schema.org/LikeAction" /> </div> <div class="reactionsBar js-reactionsList is-active"> <ul class="reactionSummary"> <li><span class="reaction reaction--small reaction--1" data-reaction-id="1"><i aria-hidden="true"></i><img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="reaction-sprite js-reaction" alt="Like" title="Like" /></span></li> </ul> <span class="u-srOnly">Likes</span> <bdi>arivero</bdi> </div> <div class="js-historyTarget message-historyTarget toggleTarget" data-href="trigger-href"></div> </footer> </div> </div> </div> </article>  <article class="message message--post js-post js-inlineModContainer " data-author="bhobba" data-content="post-5805011" id="js-post-5805011" itemscope itemtype="https://schema.org/Comment" itemid="https://www.physicsforums.com/posts/5805011/"> <meta itemprop="parentItem" itemscope itemid="https://www.physicsforums.com/threads/super-p-brane-theory-emerging-from-super-homotopy-theory-comments.920114/" /> <span class="u-anchorTarget" id="post-5805011"></span> <div class="message-header"> <header class="message-attribution message-attribution--split"> <ul class="message-attribution-main listInline "> <li class="u-concealed"> <time class="u-dt" dir="auto" datetime="2017-07-17T19:34:15-0500" data-time="1500338055" data-date-string="Jul 17, 2017" data-time-string="7:34 PM" title="Jul 17, 2017 at 7:34 PM" itemprop="datePublished">Jul 17, 2017</time> </li> </ul> <ul class="message-attribution-opposite message-attribution-opposite--list "> <li> <span style="cursor:pointer;" data-xf-init="share-tooltip" data-href="/posts/5805011/share" aria-label="Share" role="button" rel="nofollow"> <i class="fa--xf fal fa-share-alt" aria-hidden="true"></i> </span> </li> <li> #5 </li> </ul> </header> </div> <div class="message-inner"> <div class="message-cell message-cell--user"> <section class="message-user" itemprop="author" itemscope itemtype="https://schema.org/Person" itemid="https://www.physicsforums.com/members/bhobba.366323/"> <meta itemprop="url" content="https://www.physicsforums.com/members/bhobba.366323/" /> <div class="message-userDetails"> <span class="message-name"><a href="/members/bhobba.366323/" class="username " dir="auto" data-user-id="366323" data-xf-init="member-tooltip"><span class="username--staff username--moderator" itemprop="name">bhobba</span></a></span>    <div class="post-badges"> <div class="post-badge badge-mentor" data-xf-init="tooltip" title="PF Community Staff"> <i class="fa--xf fal fa-user-graduate" aria-hidden="true"></i><span> Mentor</span> </div> <div class="post-badge badge-file" data-xf-init="tooltip" title="Click to View My Articles"> <a href="https://www.physicsforums.com/insights/author/bhobba/"><i class="fa--xf fal fa-file-alt" aria-hidden="true"></i><span> Insights Author</span></a> </div> </div>  </div> <div class="message-userExtras"> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-comments fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Messages"></i></dt> <dd>10,840</dd> </dl> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-thumbs-up fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Reaction score"></i></dt> <dd>3,703</dd> </dl> </div> <span class="message-userArrow"></span> </section> </div> <div class="message-cell message-cell--main"> <div class="message-main js-quickEditTarget"> <div class="message-content js-messageContent"> <div class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5805011" data-lb-caption-desc="bhobba · Jul 17, 2017 at 7:34 PM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper">Man that's beautiful stuff.<br /> <br /> Wish my math was up to the full details these days.<br /> <br /> It taps out at RHS's - that's about my limit.<br /> <br /> Love reading your articles though.<br /> <br /> Thanks<br /> Bil</div> </div> <div class="js-selectToQuoteEnd"> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta itemprop="userInteractionCount" content="0" /> <meta itemprop="interactionType" content="https://schema.org/LikeAction" /> </div> <div class="reactionsBar js-reactionsList "> </div> <div class="js-historyTarget message-historyTarget toggleTarget" data-href="trigger-href"></div> </footer> </div> </div> </div> </article>  <article class="message message--post js-post js-inlineModContainer " data-author="Urs Schreiber" data-content="post-5805143" id="js-post-5805143" itemscope itemtype="https://schema.org/Comment" itemid="https://www.physicsforums.com/posts/5805143/"> <meta itemprop="parentItem" itemscope itemid="https://www.physicsforums.com/threads/super-p-brane-theory-emerging-from-super-homotopy-theory-comments.920114/" /> <span class="u-anchorTarget" id="post-5805143"></span> <div class="message-header"> <header class="message-attribution message-attribution--split"> <ul class="message-attribution-main listInline "> <li class="u-concealed"> <time class="u-dt" dir="auto" datetime="2017-07-18T02:08:37-0500" data-time="1500361717" data-date-string="Jul 18, 2017" data-time-string="2:08 AM" title="Jul 18, 2017 at 2:08 AM" itemprop="datePublished">Jul 18, 2017</time> </li> </ul> <ul class="message-attribution-opposite message-attribution-opposite--list "> <li> <span style="cursor:pointer;" data-xf-init="share-tooltip" data-href="/posts/5805143/share" aria-label="Share" role="button" rel="nofollow"> <i class="fa--xf fal fa-share-alt" aria-hidden="true"></i> </span> </li> <li> #6 </li> </ul> </header> </div> <div class="message-inner"> <div class="message-cell message-cell--user"> <section class="message-user" itemprop="author" itemscope itemtype="https://schema.org/Person" itemid="https://www.physicsforums.com/members/urs-schreiber.567385/"> <meta itemprop="url" content="https://www.physicsforums.com/members/urs-schreiber.567385/" /> <div class="message-userDetails"> <span class="message-name"><a href="/members/urs-schreiber.567385/" class="username " dir="auto" data-user-id="567385" data-xf-init="member-tooltip"><span itemprop="name">Urs Schreiber</span></a></span>   <span class="threadstarter" data-xf-init="tooltip" title="Thread Starter"><i class="fal fa-user-edit"></i></span>  <div class="post-badges"> <div class="post-badge badge-university" data-xf-init="tooltip" title="Verified Expert in Science and Math"> <i class="fa--xf fal fa-university" aria-hidden="true"></i><span> Science Advisor</span> </div> <div class="post-badge badge-file" data-xf-init="tooltip" title="Click to View My Articles"> <a href="https://www.physicsforums.com/insights/author/Urs Schreiber/"><i class="fa--xf fal fa-file-alt" aria-hidden="true"></i><span> Insights Author</span></a> </div> <div class="post-badge badge-star" data-xf-init="tooltip" title="Click to Support PF"> <i class="fa--xf fal fa-star" aria-hidden="true"></i><span> Gold Member</span> </div> </div>  </div> <div class="message-userExtras"> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-comments fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Messages"></i></dt> <dd>573</dd> </dl> <dl class="pairs pairs--justified"> <dt><i class="fa--xf fal fa-thumbs-up fa-fw" aria-hidden="true" data-xf-init="tooltip" title="Reaction score"></i></dt> <dd>676</dd> </dl> </div> <span class="message-userArrow"></span> </section> </div> <div class="message-cell message-cell--main"> <div class="message-main js-quickEditTarget"> <div class="message-content js-messageContent"> <div class="message-userContent lbContainer js-lbContainer " data-lb-id="post-5805143" data-lb-caption-desc="Urs Schreiber · Jul 18, 2017 at 2:08 AM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper"><blockquote data-attributes="member: 366323" data-quote="bhobba" data-source="post: 5805011" class="bbCodeBlock bbCodeBlock--expandable bbCodeBlock--quote js-expandWatch"> <div class="bbCodeBlock-title"> bhobba said: </div> <div class="bbCodeBlock-content"> <div class="bbCodeBlock-expandContent js-expandContent "> Man that's beautiful stuff.<br /> <br /> Wish my math was up to the full details these days.<br /> <br /> It taps out at RHS's - that's about my limit. </div> </div> </blockquote><br /> Thanks for the feedback.<br /> <br /> Let me amplify that while homotopy theory in general and rational homotopy theory (RHS) in particular provide the full story that I am sketching above, most of the results surveyed above may be seen already via elementary means by considering just "FDA"s as used in supergravity, augmented only by the standard algorithm for computing homotopy (co-)fibers. The lecture notes at <a href="https://ncatlab.org/nlab/show/geometry+of+physics+--+fundamental+super+p-branes" target="_blank" class="link link--external" rel="nofollow ugc noopener">ncatlab.org/nlab/print/geometry+of+physics+--+fundamental+super+p-branes</a> are written for an audience with no particular background, are expository, detailed and self-contained. And for something half-way between the terse <a href="https://ncatlab.org/schreiber/files/SchreiberStringMath17-170717b.pdf" target="_blank" class="link link--external" rel="nofollow ugc noopener">slides</a> for the above and these full lecture notes, there is also these seminar notes: <a href="https://ncatlab.org/schreiber/print/Super+Lie+n-algebra+of+Super+p-branes" target="_blank" class="link link--external" rel="nofollow ugc noopener">ncatlab.org/schreiber/print/Super+Lie+n-algebra+of+Super+p-branes.</a><br /> <br /> (Best viewed with Firefox or one of its derivatives, since other browsers will call MathJax to render the formulas, which then takes ages.)</div> </div> <div class="js-selectToQuoteEnd"> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta itemprop="userInteractionCount" content="2" /> <meta itemprop="interactionType" 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class="message-user" itemprop="author" itemscope itemtype="https://schema.org/Person" itemid="https://www.physicsforums.com/members/urs-schreiber.567385/"> <meta itemprop="url" content="https://www.physicsforums.com/members/urs-schreiber.567385/" /> <div class="message-userDetails"> <span class="message-name"><a href="/members/urs-schreiber.567385/" class="username " dir="auto" data-user-id="567385" data-xf-init="member-tooltip"><span itemprop="name">Urs Schreiber</span></a></span>   <span class="threadstarter" data-xf-init="tooltip" title="Thread Starter"><i class="fal fa-user-edit"></i></span>  <div class="post-badges"> <div class="post-badge badge-university" data-xf-init="tooltip" title="Verified Expert in Science and Math"> <i class="fa--xf fal fa-university" aria-hidden="true"></i><span> Science Advisor</span> </div> <div class="post-badge badge-file" data-xf-init="tooltip" title="Click to View My Articles"> <a href="https://www.physicsforums.com/insights/author/Urs 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Schreiber · Mar 11, 2018 at 9:56 AM"> <article class="message-body js-selectToQuote"> <div itemprop="text"> <div class="bbWrapper">Maybe I may be excused for plugging a pointer related to the topic of <a href="https://www.physicsforums.com/insights/super-p-brane-theory-emerging-super-homotopy-theory/" class="link link--internal">this old PF Insights article</a>, on matters of <a href="https://ncatlab.org/schreiber/show/Higher+Structures" target="_blank" class="link link--external" rel="nofollow ugc noopener">higher structures</a> in physics:<br /> <br /> There'll be a conference later this year on this topic, titled<br /> <br /> <a href="http://ims.nus.edu.sg/events/2018/wstring/index.php" target="_blank" class="link link--external" rel="nofollow ugc noopener"><b>String and M-Theory: The New Geometry of the 21st Century"</b></a><br /> NUS Singapore, 10-14 Dec 2018<br /> <br /> Sub-theme 1: The worldvolume theories of M-branes<br /> <ul> <li data-xf-list-type="ul">Little string theory formulation of the M5-brane worldvolume theory.</li> <li data-xf-list-type="ul">Non-abelian gerbes and the higher gauge theory formulation of M5-brane worldvolume theory.</li> <li data-xf-list-type="ul">Three-Lie algebra/ABJM formulation of M2-brane worldvolume theory</li> </ul>Sub-theme 2: The role of homotopy super Lie-n algebras in M-theory<br /> <ul> <li data-xf-list-type="ul">Homotopy super Lie-n algebras and higher WZW models of branes.</li> <li data-xf-list-type="ul">Homotopy super Lie-n algebras and string dualities.</li> </ul>Incidentally, we are finalizing some new results on this subject, the working title is <a href="https://ncatlab.org/schreiber/print/Higher+T-duality+of+super+M-branes" target="_blank" class="link link--external" rel="nofollow ugc noopener">Higher T-duality of super M-branes</a> and this is what we think we claim:<br /> <br /> <i>We establish a higher generalization of super L-∞-algebraic T-duality of super WZW-terms for super p-branes. In particular we demonstrate spherical T-duality of super M5-branes propagating on exceptional-geometric 11d superspacetimes. Finally we observe that this constitutes a duality-isomorphism relating a priori different moduli spaces for C-field configurations in exceptional generalized geometry.</i></div> </div> <div class="js-selectToQuoteEnd"> </div> </article> </div> </div> <footer class="message-footer"> <div class="message-microdata" itemprop="interactionStatistic" itemtype="https://schema.org/InteractionCounter" itemscope> <meta itemprop="userInteractionCount" content="3" /> <meta itemprop="interactionType" content="https://schema.org/LikeAction" /> </div> <div class="reactionsBar js-reactionsList is-active"> <ul class="reactionSummary"> <li><span class="reaction reaction--small reaction--1" data-reaction-id="1"><i aria-hidden="true"></i><img src="data:image/gif;base64,R0lGODlhAQABAIAAAAAAAP///yH5BAEAAAAALAAAAAABAAEAAAIBRAA7" class="reaction-sprite js-reaction" alt="Like" title="Like" /></span></li> </ul> <span class="u-srOnly">Likes</span> <bdi>samalkhaiat</bdi>, <bdi>dextercioby</bdi> and <bdi>Greg 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pairs--justified structItem-minor"> <dt>Views</dt> <dd>2K</dd> </dl> </div> </div> <div class="structItem structItem--thread is-prefix92 js-inlineModContainer js-threadListItem-1058649" data-author="bhobba"> <div class="structItem-cell structItem-cell--main" data-xf-init="touch-proxy"> <div class="structItem-title"> <span class="prefix advanced" dir="auto">A</span> <a href="/threads/the-emergence-of-space-time-in-string-theory.1058649/" class="" data-tp-primary="on" data-xf-init="preview-tooltip" data-preview-url="/threads/the-emergence-of-space-time-in-string-theory.1058649/preview">The Emergence of Space-time in String Theory</a> </div> <div class="structItem-minor"> <ul class="structItem-parts"> <li class="structItem-startDate"><time class="structItem-latestDate u-dt" dir="auto" datetime="2024-11-23T12:54:21-0600" data-time="1732388061" data-date-string="Nov 23, 2024" data-time-string="12:54 PM" title="Nov 23, 2024 at 12:54 PM">Nov 23, 2024</time></li>  </ul> <ul class="structItem-parts"> </ul> </div> </div> <div class="structItem-cell structItem-cell--meta" title="First message reaction score: 5"> <dl class="pairs pairs--justified"> <dt>Replies</dt> <dd>33</dd> </dl> <dl class="pairs pairs--justified structItem-minor"> <dt>Views</dt> <dd>5K</dd> </dl> </div> </div> <div class="structItem structItem--thread is-prefix91 js-inlineModContainer js-threadListItem-1065273" data-author="kodama"> <div class="structItem-cell structItem-cell--main" data-xf-init="touch-proxy"> <div class="structItem-title"> <span class="prefix inter" dir="auto">I</span> <a href="/threads/unifying-string-theory-and-loop-quantum-gravity.1065273/" class="" data-tp-primary="on" data-xf-init="preview-tooltip" data-preview-url="/threads/unifying-string-theory-and-loop-quantum-gravity.1065273/preview">Unifying string theory and loop quantum gravity</a> </div> <div class="structItem-minor"> <ul class="structItem-parts"> <li class="structItem-startDate"><time class="structItem-latestDate u-dt" dir="auto" datetime="2024-09-08T00:22:08-0500" data-time="1725772928" data-date-string="Sep 8, 2024" data-time-string="12:22 AM" title="Sep 8, 2024 at 12:22 AM">Sep 8, 2024</time></li>  </ul> <ul class="structItem-parts"> </ul> </div> </div> <div class="structItem-cell structItem-cell--meta" title="First message reaction score: 1"> <dl class="pairs pairs--justified"> <dt>Replies</dt> <dd>2</dd> </dl> <dl class="pairs pairs--justified structItem-minor"> <dt>Views</dt> <dd>1K</dd> </dl> </div> </div> <div class="structItem structItem--thread is-prefix89 is-sticky is-locked js-inlineModContainer js-threadListItem-828866" data-author="Urs Schreiber"> <div class="structItem-cell structItem-cell--main" data-xf-init="touch-proxy"> <ul class="structItem-statuses"> <li> <i class="structItem-status structItem-status--sticky" aria-hidden="true" title="Sticky"></i> <span class="u-srOnly">Sticky</span> </li> </ul> <div class="structItem-title"> <span class="prefix 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js-inlineModContainer js-threadListItem-886749" data-author="Urs Schreiber"> <div class="structItem-cell structItem-cell--main" data-xf-init="touch-proxy"> <div class="structItem-title"> <span class="prefix insight" dir="auto">Insights</span> <a href="/threads/spectral-standard-model-and-string-compactifications-comments.886749/" class="" data-tp-primary="on" data-xf-init="preview-tooltip" data-preview-url="/threads/spectral-standard-model-and-string-compactifications-comments.886749/preview">Spectral Standard Model and String Compactifications - Comments</a> </div> <div class="structItem-minor"> <ul class="structItem-parts"> <li class="structItem-startDate"><time class="structItem-latestDate u-dt" dir="auto" datetime="2016-10-20T09:43:10-0500" data-time="1476974590" data-date-string="Oct 20, 2016" data-time-string="9:43 AM" title="Oct 20, 2016 at 9:43 AM">Oct 20, 2016</time></li>  </ul> <ul class="structItem-parts"> </ul> </div> </div> <div class="structItem-cell 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Super p-Brane Theory Emerging from Super Homotopy Theory - Comments