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Geometrizing $T\bar{T}$

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arxiv 2011.04664 v2 pith:6QWXHYCE submitted 2020-11-09 hep-th

Pawel Caputa , Shouvik Datta , Yunfeng Jiang , Per Kraus This is my paper
classification hep-th
keywords cutoffdynamicalboundarychangecoordinatescurvedsurfaceweyl
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abstract

The $T\bar{T}$ deformation can be formulated as a dynamical change of coordinates. We establish and generalize this relation to curved spaces by coupling the undeformed theory to 2d gravity. For curved space the dynamical change of coordinates is supplemented by a dynamical Weyl transformation. We also sharpen the holographic correspondence to cutoff AdS$_3$ in multiple ways. First, we show that the action of the annular region between the cutoff surface and the boundary of AdS$_3$ is given precisely by the $T\bar{T}$ operator integrated over either the cutoff surface or the asymptotic boundary. Then we derive dynamical coordinate and Weyl transformations directly from the bulk. Finally, we reproduce the flow equation for the deformed stress tensor from the cutoff geometry.

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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. Wavefunctions of AdS$_3$ Universes and $T\bar{T}$-deformed Torus Partition Functions

    hep-th 2026-08 reject novelty 6.0 of 10

    The paper's central claim of an invertible bulk-boundary transform for T-Tbar deformed torus partition functions is broken by an incorrect inverse kernel and a factor-of-pi normalization inconsistency.

  2. Super $T\bar{T}$ deformation and the RNS non-critical superstring

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Super T̄T deformations of N=(1,1) 2D theories reproduce, on-shell, the light-cone spectrum of a non-critical RNS superstring.

  3. Soliton Surfaces and the Geometry of Integrable Deformations of the $\mathbb{CP}^{N-1}$ Model

    hep-th 2025-09 conditional novelty 6.0 of 10

    Instanton solutions with vanishing energy-momentum tensor remain solutions under analytic TTbar-like deformations, and the deformed CP^{N-1} model is equivalent to the undeformed model on a field-dependent unit-determ...

  4. $T\bar{T}$-deformed correlators from a 2D gravity description

    hep-th 2025-07 conditional novelty 6.0 of 10

    Using a massive gravity formulation, the paper derives all-order leading-logarithmic T-bar-T corrections to two- and three-point CFT correlators, reproducing the known two-point result and obtaining a new closed form ...

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