JT gravity limit of Liouville CFT and matrix model

JT gravity limit of Liouville CFT and matrix model

Abstract In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT...

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Main Authors: Kenta Suzuki, Tadashi Takayanagi
Format: article
Language:EN
Published: SpringerOpen 2021
Subjects:
2D Gravity
AdS-CFT Correspondence
Matrix Models
Bosonic Strings
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Online Access:https://doaj.org/article/4e1f69afc2d64fe2b9b0c96d12d9afd9
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spelling oai:doaj.org-article:4e1f69afc2d64fe2b9b0c96d12d9afd92021-11-21T12:41:00ZJT gravity limit of Liouville CFT and matrix model10.1007/JHEP11(2021)1371029-8479https://doaj.org/article/4e1f69afc2d64fe2b9b0c96d12d9afd92021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)137https://doaj.org/toc/1029-8479Abstract In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c = 1 matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.Kenta SuzukiTadashi TakayanagiSpringerOpenarticle2D GravityAdS-CFT CorrespondenceMatrix ModelsBosonic StringsNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-29 (2021)
institution DOAJ
collection DOAJ
language EN
topic 2D Gravity
AdS-CFT Correspondence
Matrix Models
Bosonic Strings
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle 2D Gravity
AdS-CFT Correspondence
Matrix Models
Bosonic Strings
Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
Kenta Suzuki
Tadashi Takayanagi
JT gravity limit of Liouville CFT and matrix model
description Abstract In this paper we study a connection between Jackiw-Teitelboim (JT) gravity on two-dimensional anti de-Sitter spaces and a semiclassical limit of c < 1 two-dimensional string theory. The world-sheet theory of the latter consists of a space-like Liouville CFT coupled to a non-rational CFT defined by a time-like Liouville CFT. We show that their actions, disk partition functions and annulus amplitudes perfectly agree with each other, where the presence of boundary terms plays a crucial role. We also reproduce the boundary Schwarzian theory from the Liouville theory description. Then, we identify a matrix model dual of our two-dimensional string theory with a specific time-dependent background in c = 1 matrix quantum mechanics. Finally, we also explain the corresponding relation for the two-dimensional de-Sitter JT gravity.
format article
author Kenta Suzuki
Tadashi Takayanagi
author_facet Kenta Suzuki
Tadashi Takayanagi
author_sort Kenta Suzuki
title JT gravity limit of Liouville CFT and matrix model
title_short JT gravity limit of Liouville CFT and matrix model
title_full JT gravity limit of Liouville CFT and matrix model
title_fullStr JT gravity limit of Liouville CFT and matrix model
title_full_unstemmed JT gravity limit of Liouville CFT and matrix model
title_sort jt gravity limit of liouville cft and matrix model
publisher SpringerOpen
publishDate 2021
url https://doaj.org/article/4e1f69afc2d64fe2b9b0c96d12d9afd9
work_keys_str_mv AT kentasuzuki jtgravitylimitofliouvillecftandmatrixmodel
AT tadashitakayanagi jtgravitylimitofliouvillecftandmatrixmodel
_version_ 1718418880974553088

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