Chaos in CFT dual to rotating BTZ

Abstract We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual bulk geometry is a boosted BTZ black brane or a rotati...

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Autores principales:	Ben Craps, Surbhi Khetrapal, Charles Rabideau
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/5c8f6156906148979f1cf92e184ca99e
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spelling	oai:doaj.org-article:5c8f6156906148979f1cf92e184ca99e2021-11-21T12:40:56ZChaos in CFT dual to rotating BTZ10.1007/JHEP11(2021)1051029-8479https://doaj.org/article/5c8f6156906148979f1cf92e184ca99e2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)105https://doaj.org/toc/1029-8479Abstract We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual bulk geometry is a boosted BTZ black brane or a rotating BTZ black hole. In the case when the spatial direction is non-compact, we generalise a computation of Roberts and Stanford and show that to reproduce the correct bulk answer a maximal channel contribution needs to be selected when using the identity block approximation. We use the correspondence between global conformal blocks and geodesic Witten diagrams to extend our results to CFTs on a spatial circle. In [1] it was shown that the OTOC for a rotating BTZ black hole exhibits a periodic modulation about an average exponential decay with Lyapunov exponent 2π/β. In the extremal limit where the black hole is maximally rotating, it was shown in [2] that the OTOC exhibits an average cubic growth, on which is superposed a sawtooth pattern which has small periods of Lyapunov growth due to the non-zero temperature of left-movers in the dual CFT. Our computations explain these results from a dual CFT perspective.Ben CrapsSurbhi KhetrapalCharles RabideauSpringerOpenarticleAdS-CFT CorrespondenceBlack Holes in String TheoryConformal Field TheoryNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-22 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	AdS-CFT Correspondence Black Holes in String Theory Conformal Field Theory Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Ben Craps Surbhi Khetrapal Charles Rabideau Chaos in CFT dual to rotating BTZ
description	Abstract We compute out-of-time-order correlators (OTOCs) in two-dimensional holographic conformal field theories (CFTs) with different left- and right-moving temperatures. Depending on whether the CFT lives on a spatial line or circle, the dual bulk geometry is a boosted BTZ black brane or a rotating BTZ black hole. In the case when the spatial direction is non-compact, we generalise a computation of Roberts and Stanford and show that to reproduce the correct bulk answer a maximal channel contribution needs to be selected when using the identity block approximation. We use the correspondence between global conformal blocks and geodesic Witten diagrams to extend our results to CFTs on a spatial circle. In [1] it was shown that the OTOC for a rotating BTZ black hole exhibits a periodic modulation about an average exponential decay with Lyapunov exponent 2π/β. In the extremal limit where the black hole is maximally rotating, it was shown in [2] that the OTOC exhibits an average cubic growth, on which is superposed a sawtooth pattern which has small periods of Lyapunov growth due to the non-zero temperature of left-movers in the dual CFT. Our computations explain these results from a dual CFT perspective.
format	article
author	Ben Craps Surbhi Khetrapal Charles Rabideau
author_facet	Ben Craps Surbhi Khetrapal Charles Rabideau
author_sort	Ben Craps
title	Chaos in CFT dual to rotating BTZ
title_short	Chaos in CFT dual to rotating BTZ
title_full	Chaos in CFT dual to rotating BTZ
title_fullStr	Chaos in CFT dual to rotating BTZ
title_full_unstemmed	Chaos in CFT dual to rotating BTZ
title_sort	chaos in cft dual to rotating btz
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/5c8f6156906148979f1cf92e184ca99e
work_keys_str_mv	AT bencraps chaosincftdualtorotatingbtz AT surbhikhetrapal chaosincftdualtorotatingbtz AT charlesrabideau chaosincftdualtorotatingbtz
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Chaos in CFT dual to rotating BTZ

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