Asymptotically free AdS3/CFT2

Bruno Balthazar; Amit Giveon; David Kutasov; Emil J. Martinec

doi:10.1007/JHEP01(2022)008

Asymptotically free AdS₃/CFT₂

Bruno Balthazar
, Amit Giveon
, David Kutasov
, Emil J. Martinec

Racah Institute of Physics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

Abstract

We propose a new AdS₃/CFT₂ duality, in which the bulk string theory has a target spacetime AdS₃ times a squashed three-sphere S♭3, and the dual CFT₂ is a symmetric product of sigma models on ℝ_ϕ×S♭3, deformed by a ϕ-dependent ℤ₂ twist operator. The duality maps the asymptotic region of AdS₃ to the region ϕ → ∞, where the twist interaction in the CFT₂ turns off. The AdS₃ backgrounds in question have R_AdS< ℓ_s, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in AdS₃ rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT₂ by a systematic analysis of the worldsheet string theory on AdS₃.

Original language	English GB
Article number	8
Journal	Journal of High Energy Physics
Volume	2022
Issue number	1
DOIs	https://doi.org/10.1007/JHEP01(2022)008
State	Published - Jan 2022

Keywords

AdS-CFT Correspondence
Conformal Field Models in String Theory
Long strings

ASJC Scopus subject areas

Nuclear and High Energy Physics

Access to Document

10.1007/JHEP01(2022)008

Cite this

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title = "Asymptotically free AdS3/CFT2",

abstract = "We propose a new AdS3/CFT2 duality, in which the bulk string theory has a target spacetime AdS3 times a squashed three-sphere S♭3, and the dual CFT2 is a symmetric product of sigma models on ℝϕ×S♭3, deformed by a ϕ-dependent ℤ2 twist operator. The duality maps the asymptotic region of AdS3 to the region ϕ → ∞, where the twist interaction in the CFT2 turns off. The AdS3 backgrounds in question have RAdS< ℓs, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in AdS3 rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT2 by a systematic analysis of the worldsheet string theory on AdS3.",

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author = "Bruno Balthazar and Amit Giveon and David Kutasov and Martinec, \{Emil J.\}",

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year = "2022",

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doi = "10.1007/JHEP01(2022)008",

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TY - JOUR

T1 - Asymptotically free AdS3/CFT2

AU - Balthazar, Bruno

AU - Giveon, Amit

AU - Kutasov, David

AU - Martinec, Emil J.

PY - 2022/1

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N2 - We propose a new AdS3/CFT2 duality, in which the bulk string theory has a target spacetime AdS3 times a squashed three-sphere S♭3, and the dual CFT2 is a symmetric product of sigma models on ℝϕ×S♭3, deformed by a ϕ-dependent ℤ2 twist operator. The duality maps the asymptotic region of AdS3 to the region ϕ → ∞, where the twist interaction in the CFT2 turns off. The AdS3 backgrounds in question have RAdS< ℓs, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in AdS3 rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT2 by a systematic analysis of the worldsheet string theory on AdS3.

AB - We propose a new AdS3/CFT2 duality, in which the bulk string theory has a target spacetime AdS3 times a squashed three-sphere S♭3, and the dual CFT2 is a symmetric product of sigma models on ℝϕ×S♭3, deformed by a ϕ-dependent ℤ2 twist operator. The duality maps the asymptotic region of AdS3 to the region ϕ → ∞, where the twist interaction in the CFT2 turns off. The AdS3 backgrounds in question have RAdS< ℓs, and so lie on the string side of the string/black hole correspondence transition. As a consequence, the high energy density of states consists of a string gas in AdS3 rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT2 by a systematic analysis of the worldsheet string theory on AdS3.

KW - AdS-CFT Correspondence

KW - Conformal Field Models in String Theory

KW - Long strings

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DO - 10.1007/JHEP01(2022)008

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