Asymptotically free AdS3/CFT2

A bstract We propose a new AdS 3 /CFT 2 duality, in which the bulk string theory has a target spacetime AdS 3 times a squashed three-sphere S ♭ 3 , and the dual CFT 2 is a symmetric product of sigma models on ℝ ϕ × S ♭ 3 , deformed by a ϕ -dependent ℤ 2 twist operator. The duality maps the asymptoti...

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Bibliographic Details
Published in:The journal of high energy physics Vol. 2022; no. 1; pp. 1 - 106
Main Authors: Balthazar, Bruno, Giveon, Amit, Kutasov, David, Martinec, Emil J.
Format: Journal Article
Language:English
Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.01.2022
Springer Nature B.V
Springer Nature
SpringerOpen
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ISSN:1029-8479, 1029-8479
Online Access:Get full text
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Summary:A bstract We propose a new AdS 3 /CFT 2 duality, in which the bulk string theory has a target spacetime AdS 3 times a squashed three-sphere S ♭ 3 , and the dual CFT 2 is a symmetric product of sigma models on ℝ ϕ × S ♭ 3 , deformed by a ϕ -dependent ℤ 2 twist operator. The duality maps the asymptotic region of AdS 3 to the region ϕ → ∞ , where the twist interaction in the CFT 2 turns off. The AdS 3 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 AdS 3 rather than an ensemble of BTZ black holes. This property allows us to derive the dual CFT 2 by a systematic analysis of the worldsheet string theory on AdS 3 .
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USDOE Office of Science (SC), High Energy Physics (HEP)
SC0009924
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP01(2022)008