TsT, $T\bar{T}$ and black strings

Abstract

We study the relationship between TsT transformations, marginal deformations of string theory on AdS${}_3$ backgrounds, and irrelevant deformations of 2d CFTs. We show that TsT transformations of NS-NS backgrounds correspond to instantaneous deformations of the worldsheet action by the antisymmetric product of two Noether currents, holographically mirroring the definition of the $T\bar{T}$, $J\bar{T}$, $T\bar{J}$, and $J\bar{J}$ deformations of 2d CFTs. Applying a TsT transformation to string theory on BTZ $\times S^3\times M^4$ we obtain a general class of rotating black string solutions, including the Horne-Horowitz and the Giveon-Itzhaki-Kutasov ones as special cases, which we show are holographically dual to thermal states in single-trace $T\bar{T}$-deformed CFTs. We also find a smooth solution interpolating between global AdS${}_3$ in the IR and a linear dilaton background in the UV that is interpreted as the NS-NS ground state in the dual $T\bar{T}$-deformed CFT. This background suggests the existence of an upper bound on the deformation parameter above which the solution becomes complex. We find that the worldsheet spectrum, the thermodynamics of the black strings (in particular their Bekenstein-Hawking entropy), and the critical value of the deformation parameter match the corresponding quantities obtained from single-trace $T\bar{T}$ deformations.

50 pages; v2: added references, corrected typos, and made minor improvements, matches published version; v3: corrected typos

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Cited by in corpus (40)

• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Root-$T\overline{T}$ Deformations in Two-Dimensional Quantum Field Theories
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• Duality-Invariant Non-linear Electrodynamics and Stress Tensor Flows
• $T\bar{T}$, the entanglement wedge cross section, and the breakdown of the split property
• Geometrizing $T\bar{T}$
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Interacting Chiral Form Field Theories and $T\overline{T}$-like Flows in Six and Higher Dimensions
• Non-relativistic duality and $T\bar{T}$ deformations
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Geometrizing non-relativistic bilinear deformations
• Holography and Irrelevant Operators
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• S-duality in $T\bar{T}$-deformed CFT
• Extremal surfaces in glue-on AdS/$T\bar{T}$ holography
• Topological Gauging and Double Current Deformations
• Note on the nonrelativistic $T\bar{T}$ deformation
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• Thermodynamics of $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed conformal field theories
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• $T\overline{T}$-deformation of $q$-Yang-Mills theory
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• $T\bar{T}$ deformed soft theorem
• Supersymmetric black holes and $T\bar{T}$ deformation
• Aspects of $T\bar{T}+J\bar{T}$ deformed Schwarzian: From gravity partition function to late-time spectral form factor
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Krylov operator complexity in holographic CFTs: Smeared boundary reconstruction and the dual proper radial momentum
• Warped Flatland
• Solvable time-like cosets and holography beyond $AdS$
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Strings in Irrelevant Deformations of $Ad{S}_3/CF{T}_2$
• Non-isometric U-dualities
• Comments on single trace $T\bar{T}$ and other current-current deformations
• A substrate for brane shells from $T\bar{T}$
• Lecture notes on strings in AdS${}_3$ from the worldsheet and the AdS${}_3$/CFT${}_2$ duality
• Generalised U-dual solutions in supergravity
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• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$
• Transfer matrices for AdS3/CFT2