Deformations of JT gravity via topological gravity and applications
Abstract We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating function of topological gravity correlators that are determined as solutions to the KdV...
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SpringerOpen
2021
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oai:doaj.org-article:b21133a1396e4345b6d91d5ac34994b32021-11-21T12:41:27ZDeformations of JT gravity via topological gravity and applications10.1007/JHEP11(2021)1541029-8479https://doaj.org/article/b21133a1396e4345b6d91d5ac34994b32021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)154https://doaj.org/toc/1029-8479Abstract We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating function of topological gravity correlators that are determined as solutions to the KdV hierarchy. We specialise to those deformations of JT gravity coupled to a gas of defects, which conforms with known results in the literature. We express the (asymptotic) thermal partition functions in a low temperature limit, in which non-perturbative corrections are suppressed and the thermal partition function becomes exact. In this limit we demonstrate that there is a Hawking-Page phase transition between connected and disconnected surfaces for this instance of JT gravity with a transition temperature affected by the presence of defects. Furthermore, the calculated spectral form factors show the qualitative behaviour expected for a Hawking-Page phase transition. The considered deformations cause the ramp to be shifted along the real time axis. Finally, we comment on recent results related to conical Weil-Petersson volumes and the analytic continuation to two-dimensional de Sitter space.Stefan FörsteHans JockersJoshua Kames-KingAlexandros KanargiasSpringerOpenarticle2D GravityAdS-CFT CorrespondenceIntegrable HierarchiesMatrix ModelsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-44 (2021) |
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2D Gravity AdS-CFT Correspondence Integrable Hierarchies Matrix Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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2D Gravity AdS-CFT Correspondence Integrable Hierarchies Matrix Models Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Stefan Förste Hans Jockers Joshua Kames-King Alexandros Kanargias Deformations of JT gravity via topological gravity and applications |
description |
Abstract We study the duality between JT gravity and the double-scaled matrix model including their respective deformations. For these deformed theories we relate the thermal partition function to the generating function of topological gravity correlators that are determined as solutions to the KdV hierarchy. We specialise to those deformations of JT gravity coupled to a gas of defects, which conforms with known results in the literature. We express the (asymptotic) thermal partition functions in a low temperature limit, in which non-perturbative corrections are suppressed and the thermal partition function becomes exact. In this limit we demonstrate that there is a Hawking-Page phase transition between connected and disconnected surfaces for this instance of JT gravity with a transition temperature affected by the presence of defects. Furthermore, the calculated spectral form factors show the qualitative behaviour expected for a Hawking-Page phase transition. The considered deformations cause the ramp to be shifted along the real time axis. Finally, we comment on recent results related to conical Weil-Petersson volumes and the analytic continuation to two-dimensional de Sitter space. |
format |
article |
author |
Stefan Förste Hans Jockers Joshua Kames-King Alexandros Kanargias |
author_facet |
Stefan Förste Hans Jockers Joshua Kames-King Alexandros Kanargias |
author_sort |
Stefan Förste |
title |
Deformations of JT gravity via topological gravity and applications |
title_short |
Deformations of JT gravity via topological gravity and applications |
title_full |
Deformations of JT gravity via topological gravity and applications |
title_fullStr |
Deformations of JT gravity via topological gravity and applications |
title_full_unstemmed |
Deformations of JT gravity via topological gravity and applications |
title_sort |
deformations of jt gravity via topological gravity and applications |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/b21133a1396e4345b6d91d5ac34994b3 |
work_keys_str_mv |
AT stefanforste deformationsofjtgravityviatopologicalgravityandapplications AT hansjockers deformationsofjtgravityviatopologicalgravityandapplications AT joshuakamesking deformationsofjtgravityviatopologicalgravityandapplications AT alexandroskanargias deformationsofjtgravityviatopologicalgravityandapplications |
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