Strings on warped AdS${}_3$ via $T\bar{J}$ deformations

Abstract

We study a toy model of the Kerr/CFT correspondence using string theory on AdS${}_3\times S^3$. We propose a single trace irrelevant deformation of the dual CFT generated by a vertex operator with spacetime dimensions (2,1). This operator shares the same quantum numbers as the integrable $T\bar{J}$ deformation of two-dimensional CFTs where $\bar{J}$ is a chiral $U(1)$ current. We show that the deformation is marginal on the worldsheet and that the target spacetime is deformed to null warped AdS${}_3$ upon dimensional reduction. We also calculate the spectrum of the deformed theory on the cylinder and compare it to the field theory analysis of $T\bar{J}$-deformed CFTs.

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

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Cited by in corpus (54)

• The $\text{T}\bar{\text{T}}$ perturbation and its geometric interpretation
• Modular invariance and uniqueness of $T\bar{T}$ deformed CFT
• A pedagogical review on solvable irrelevant deformations of 2d quantum field theory
• Correlation functions, entanglement and chaos in the $T\bar{T}$/$J\bar{T}$-deformed CFTs
• Conserved currents and $\text{T}{\bar{\text{T}}}_s$ irrelevant deformations of 2D integrable field theories
• TsT, $T\bar{T}$ and black strings
• Holographic integration of $T\bar{T}$ and $J\bar{T}$ via $O(d,d)$
• Entanglement and Rényi Entropy of Multiple Intervals in $T\overline{T}$-Deformed CFT and Holography
• Correlation functions of the CFTs on torus with $T\bar{T}$ deformation
• On correlation functions in $J\bar{T}$-deformed CFTs
• Modular covariance and uniqueness of $J\bar{T}$ deformed CFTs
• $T\bar{T},J\bar{T}$, $T\bar{J}$ Partition Sums From String Theory
• A note on the complex SYK model and warped CFTs
• $T\bar{T}$ deformations as TsT transformations
• The correlation function of (1,1) and (2,2) supersymmetric theories with $T\bar{T}$ deformation
• Expectation value of $\mathrm{T}\overline{\mathrm{T}}$ operator in curved spacetimes
• KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior
• Infinite pseudo-conformal symmetries of classical $T\bar{T}$, $J\bar{T}$ and $J{T}_a$ - deformed CFTs
• Non-relativistic duality and $T\bar{T}$ deformations
• Marginal deformations of WZW models and the classical Yang-Baxter equation
• Heating up holography for single-trace $J\bar{T}$ deformations
• Note on Rényi entropy of 2D perturbed free fermions
• Glue-on AdS holography for $T\bar{T}$-deformed CFTs
• Geometrizing non-relativistic bilinear deformations
• Supersymmetric $J\bar{T}$ and $T\bar{J}$ deformations
• Photon Rings Around Warped Black Holes
• Complexity of warped conformal field theory
• TsT, black holes, and $T\bar{T}+J\bar{T}+T\bar{J}$
• Very Special $T\bar{J}$ deformed CFT
• A Path Integral Realization of Joint $J\bar{T}$, $T\bar{J}$ and $T\bar{T}$ Flows
• Structure Constants from Modularity in Warped CFT
• A definition of primary operators in $J\bar{T}$-deformed CFTs
• A general definition of $J{T}_a$ -- deformed QFTs
• $T\bar{T}/J\bar{T}$-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
• On the universal behavior of $T\bar{T}$-deformed CFTs: single and double-trace partition functions at large $c$
• Entanglement Entropy for $T\bar{T}$, $J\bar{T}$, $T\bar{J}$ deformed holographic CFT
• $O(d,d)$ transformations preserve classical integrability
• Holographic Dual of Conformal Field Theories with Very Special $T\bar{J}$ Deformations
• States, symmetries and correlators of $T\bar{T}$ and $J\bar{T}$ symmetric orbifolds
• Holographic Complexity of LST and Single Trace $T\bar{T}$
• Irrelevant Deformations with Boundaries and Defects
• Current-current deformations, conformal integrals and correlation functions
• Symmetries versus the spectrum of $J\bar{T}$-deformed CFTs
• Holographic Complexity of LST and Single Trace $T\bar{T}$, $J\bar{T}$ and $T\bar{J}$ deformations
• Asymptotic Symmetries in the TsT/$T\bar{T}$ Correspondence
• Analytic integrability for holographic duals with $J\bar{T}$ deformations
• Strings in Irrelevant Deformations of $Ad{S}_3/CF{T}_2$
• Characters of irrelevant deformations
• Comments on single trace $T\bar{T}$ and other current-current deformations
• Nonlocal charges from marginal deformations of 2D CFTs: Holographic $T\bar{T}$, $T\bar{J}$ and Yang-Baxter deformations
• Penrose limit for holographic duals of $J\bar{T}$ deformations
• On String theory on deformed BTZ and $T\bar{T}+J\bar{T}+T\bar{J}$
• The on-shell action of supergravity & the B-side of TsT and single-trace $T\bar{T}$