{"id":929927,"date":"2022-11-23T05:03:50","date_gmt":"2022-11-23T05:03:50","guid":{"rendered":"https:\/\/projects.ift.uam-csic.es\/holotube\/?p=929927"},"modified":"2022-11-29T14:58:47","modified_gmt":"2022-11-29T14:58:47","slug":"november-29-factorization-versus-chaos-in-the-ikkt-matrix-model-by-mihailo-cubrovic","status":"publish","type":"post","link":"https:\/\/projects.ift.uam-csic.es\/holotube\/2022\/11\/23\/november-29-factorization-versus-chaos-in-the-ikkt-matrix-model-by-mihailo-cubrovic\/","title":{"rendered":"November 29: “Factorization versus chaos in the IKKT matrix model” by Mihailo \u010cubrovi\u0107"},"content":{"rendered":"\n
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Date : November 29, 2022, 16:00 CET<\/strong> <\/p>\n\n\n\n

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Mihailo \u010cubrovi\u0107<\/strong><\/strong> (Institute of Physics Belgrade)<\/p>\n<\/div><\/div>\n\n\n\n

Link:<\/strong> https:\/\/zoom.us\/j\/98260147834?pwd=VW5BQStqUGUrUFFzWG1jL2tuWXJoZz09<\/a><\/p>\n\n\n\n

Factorization versus chaos in the IKKT matrix model<\/strong><\/p>\n\n\n\n

Abstract: I discuss the problem of factorization and its relation to quantum chaos in the framework of Type IIB matrix model (IKKT matrix model). Euclidean partition functions for the fluctuations of D-brane stacks in the IKKT model always have a factorizing configuration with a half-wormhole as the preferable solution (minimizing the action); non-factorizing solutions can also exist, but they are not global minima of the action. We then define the out-of-time-ordered correlator (OTOC) in the IKKT model in two different ways, corresponding to two parameter regimes, describing Type IIB string theory or the Eguchi-Kawai discretized super-Yang-Mills action. While the former shows non-universal behavior, the latter saturates the Maldacena-Shenker-Stanford chaos bound. The (non)maximal chaos turns out to come from the (non)uniqueness of the factorizing saddle point. This suggests that factorization stems essentially from uniformly chaotic dynamics.<\/p>\n<\/div><\/div>\n\n\n\n