Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model

Abstract We study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ( $$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the war...

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Autores principales:	M. R. Setare, M. Koohgard
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/4829ac1a3a984b3394a035ed333fc10f
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spelling	oai:doaj.org-article:4829ac1a3a984b3394a035ed333fc10f2021-11-14T12:13:35ZHolographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model10.1140/epjc/s10052-021-09788-01434-60441434-6052https://doaj.org/article/4829ac1a3a984b3394a035ed333fc10f2021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09788-0https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract We study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ( $$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the warped conformal field theory (WFCT). The charge algebra of the isometries in the bulk and the charge algebra of the vacuum symmetries at the boundary are compatible and this is an evidence for the duality conjecture. Further evidence for this duality is the equality of entanglement entropy and modular Hamiltonian on both sides of the duality. So we consider the modular Hamiltonian for the single interval at the boundary in associated to the modular flow generators of the vacuum. We calculate the gravitational charge in associated to the asymptotic Killing vectors that preserve the metric boundary conditions. Assuming the first law of the entanglement entropy to be true, we introduce the matching conditions between the variables in two side of the duality and we find equality of the modular Hamiltonian variations and the gravitational charge variations in two sides of the duality. According to the results of the present paper we can say with more sure that the dual theory of the warped AdS3 black hole solution of GMMG is a Warped CFT.M. R. SetareM. KoohgardSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-12 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 M. R. Setare M. Koohgard Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
description	Abstract We study some aspects of a class of non-AdS holography where the 3D bulk gravity is given by generalized minimal massive gravity (GMMG). We consider the spacelike warped $$AdS_3$$ A d S 3 ( $$WAdS_3$$ W A d S 3 ) black hole solution of this model where the 2d dual boundary theory is the warped conformal field theory (WFCT). The charge algebra of the isometries in the bulk and the charge algebra of the vacuum symmetries at the boundary are compatible and this is an evidence for the duality conjecture. Further evidence for this duality is the equality of entanglement entropy and modular Hamiltonian on both sides of the duality. So we consider the modular Hamiltonian for the single interval at the boundary in associated to the modular flow generators of the vacuum. We calculate the gravitational charge in associated to the asymptotic Killing vectors that preserve the metric boundary conditions. Assuming the first law of the entanglement entropy to be true, we introduce the matching conditions between the variables in two side of the duality and we find equality of the modular Hamiltonian variations and the gravitational charge variations in two sides of the duality. According to the results of the present paper we can say with more sure that the dual theory of the warped AdS3 black hole solution of GMMG is a Warped CFT.
format	article
author	M. R. Setare M. Koohgard
author_facet	M. R. Setare M. Koohgard
author_sort	M. R. Setare
title	Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
title_short	Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
title_full	Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
title_fullStr	Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
title_full_unstemmed	Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model
title_sort	holographic entanglement entropy and modular hamiltonian in warped cft in the framework of gmmg model
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/4829ac1a3a984b3394a035ed333fc10f
work_keys_str_mv	AT mrsetare holographicentanglemententropyandmodularhamiltonianinwarpedcftintheframeworkofgmmgmodel AT mkoohgard holographicentanglemententropyandmodularhamiltonianinwarpedcftintheframeworkofgmmgmodel
_version_	1718429343465603072

Holographic entanglement entropy and modular Hamiltonian in warped CFT in the framework of GMMG model

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