Heating up holography for single-trace $J\bar{T}$ deformations

Abstract

We study thermodynamic aspects of a tractable toy model of holography for extremal Kerr black holes proposed in [arXiv:1806.10127]. On the gravity side, the theory can be described by the worldsheet action of string theory on a warped AdS${}_3$ background supported by NS-NS flux. Once we turn on temperature, the deformed background is described by a black string solution of type IIB supergravity that features a locally warped AdS${}_3$ factor. The dual field theory is conjectured to be a single-trace version of a $J\bar{T}$-deformed CFT at finite temperature. As evidence for the correspondence we show that the spectrum of strings winding on the deformed background agrees with the spectrum of $J\bar{T}$-deformed CFTs. Furthermore, we show that the gravitational charges of the black string match the averaged charges of a thermal ensemble in the dual field theory. Finally, we reproduce the Bekenstein-Hawking entropy of the black string from the microscopic density of states of $J\bar{T}$-deformed CFTs.

39 pages; v2: added references and a new appendix, corrected typos, clarified discussion in Section 4.2; v3: minor improvements and clarifications added, matches published version

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Cited by in corpus (26)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• $T\bar{T}$ Deformations, Massive Gravity and Non-Critical Strings
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• TsT, $T\bar{T}$ and black strings
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Photon Rings Around Warped Black Holes
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• A general definition of $J{T}_a$ -- deformed QFTs
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• $T\bar{T}/J\bar{T}$-deformed WZW models from Chern-Simons AdS${}_3$ gravity with mixed boundary conditions
• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories
• Exact $T\overline{T}$ deformation of two-dimensional Maxwell theory
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• $T\bar{T}$ deformation of classical Liouville field theory
• Current-current deformations, conformal integrals and correlation functions
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Strings in Irrelevant Deformations of $Ad{S}_3/CF{T}_2$
• Comments on single trace $T\bar{T}$ and other current-current deformations
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$