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

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arxiv 1806.10127 v3 pith:HJ5DRH7N submitted 2018-06-26 hep-th

Luis Apolo , Wei Song This is my paper · ORCID
classification hep-th
keywords deformationdeformedtheorycftsoperatorspacetimewarpedanalysis
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On Integrable Structures on Non-compact Boundaries in Three-Dimensional Gravity

    hep-th 2026-07 conditional novelty 6.0 of 10

    In the diagonal (Cartan) sector of AdS3 gravity, the radial flow of the quasi-local stress tensor satisfies an exact T Tbar-like equation, while the boundary time evolution forms an integrable bi-Hamiltonian hierarchy.

  2. Double-Current Deformations of Two-Dimensional QFTs with Anomalies

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Extends double-current deformations to anomalous 2D QFTs via dynamical gauge and Stueckelberg couplings, producing an anomaly-preserving holonomy integral kernel that Gaussian-transforms the compact boson partition function.

  3. Photon rings in a holographic toy model

    hep-th 2025-06 conditional novelty 6.0 of 10

    In warped AdS3 black holes, the eikonal quasinormal-mode spectrum is governed exactly by the photon ring's orbital frequency and Lyapunov exponent, with different boundary conditions picking out the outer or inner ring.

  4. Symmetries and operators in $T\bar{T}$ deformed CFTs

    hep-th 2025-07 conditional novelty 5.0 of 10

    A new class of local physical operators is constructed in T-bar-deformed CFTs, and their two-point functions reproduce known string theory and field theory results.

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