Emergent geometry, thermal CFT and surface/state correspondence

We study a conjectured correspondence between any codimension-two convex surface and a quantum state (SS-duality for short). By applying thermofield double formalism to the SS-duality, we show that thermal geometries naturally emerge as a result of hidden quantum entanglement between two boundary CF...

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Main Authors:	Wen-Cong Gan, Fu-Wen Shu, Meng-He Wu
Format:	Article
Language:	English
Published:	Elsevier 2017-09-01
Series:	Physics Letters B
Subjects:	AdS/CFT correspondence cMERA Holography BTZ black hole
Online Access:	http://www.sciencedirect.com/science/article/pii/S0370269317305580

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spelling	doaj-aaa37dfbf5954a10bf438bdf918d15e72020-11-24T22:20:48ZengElsevierPhysics Letters B0370-26931873-24452017-09-01772C46447010.1016/j.physletb.2017.07.011Emergent geometry, thermal CFT and surface/state correspondenceWen-Cong Gan0Fu-Wen Shu1Meng-He Wu2Department of Physics, Nanchang University, Nanchang, 330031, ChinaDepartment of Physics, Nanchang University, Nanchang, 330031, ChinaDepartment of Physics, Nanchang University, Nanchang, 330031, ChinaWe study a conjectured correspondence between any codimension-two convex surface and a quantum state (SS-duality for short). By applying thermofield double formalism to the SS-duality, we show that thermal geometries naturally emerge as a result of hidden quantum entanglement between two boundary CFTs. We therefore propose a general framework to emerge the thermal geometry from CFT at finite temperature, without knowing many details about the thermal CFT. As an example, the case of 2d CFT is considered. We calculate its information metric and show that it is either BTZ black hole or thermal AdS as expected.http://www.sciencedirect.com/science/article/pii/S0370269317305580AdS/CFT correspondencecMERAHolographyBTZ black hole
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Wen-Cong Gan Fu-Wen Shu Meng-He Wu
spellingShingle	Wen-Cong Gan Fu-Wen Shu Meng-He Wu Emergent geometry, thermal CFT and surface/state correspondence Physics Letters B AdS/CFT correspondence cMERA Holography BTZ black hole
author_facet	Wen-Cong Gan Fu-Wen Shu Meng-He Wu
author_sort	Wen-Cong Gan
title	Emergent geometry, thermal CFT and surface/state correspondence
title_short	Emergent geometry, thermal CFT and surface/state correspondence
title_full	Emergent geometry, thermal CFT and surface/state correspondence
title_fullStr	Emergent geometry, thermal CFT and surface/state correspondence
title_full_unstemmed	Emergent geometry, thermal CFT and surface/state correspondence
title_sort	emergent geometry, thermal cft and surface/state correspondence
publisher	Elsevier
series	Physics Letters B
issn	0370-2693 1873-2445
publishDate	2017-09-01
description	We study a conjectured correspondence between any codimension-two convex surface and a quantum state (SS-duality for short). By applying thermofield double formalism to the SS-duality, we show that thermal geometries naturally emerge as a result of hidden quantum entanglement between two boundary CFTs. We therefore propose a general framework to emerge the thermal geometry from CFT at finite temperature, without knowing many details about the thermal CFT. As an example, the case of 2d CFT is considered. We calculate its information metric and show that it is either BTZ black hole or thermal AdS as expected.
topic	AdS/CFT correspondence cMERA Holography BTZ black hole
url	http://www.sciencedirect.com/science/article/pii/S0370269317305580
work_keys_str_mv	AT wenconggan emergentgeometrythermalcftandsurfacestatecorrespondence AT fuwenshu emergentgeometrythermalcftandsurfacestatecorrespondence AT menghewu emergentgeometrythermalcftandsurfacestatecorrespondence
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Emergent geometry, thermal CFT and surface/state correspondence

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