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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Autores principales:	Kenta Suzuki, Tadashi Takayanagi
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	2D Gravity AdS-CFT Correspondence Matrix Models Bosonic Strings Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	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

JT gravity limit of Liouville CFT and matrix model

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