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Resurgent properties of $T\overline{T}$-deformed conformal field theories

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arxiv 2503.19350 v1 pith:R36X7VTZ submitted 2025-03-25 hep-th

classification hep-th
keywords seriesdeformedlambdaresurgenceasymptoticconformalfieldoverline
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We elaborate on the resurgence analysis on the $T\overline{T}$-deformed 2d conformal field theory (CFT). Writing the deformed partition function as an infinite series in the deformation parameter $\lambda$, we develop efficient analytical methods to compute high-order terms of the $\lambda$-series. Based on the asymptotic behavior of the large-order perturbative series, we show that the $\lambda$-series is asymptotic and extract non-perturabtive contributions by resurgence. This paper extends a previous Letter of the same authors to interacting rational CFTs, with Lee-Yang CFT as a concrete example. We also discuss possible implications of the resurgence results on holography.

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Cited by 3 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. Nonperturbative effects in $T\bar{T}$-deformed conformal field theories: A toy model for Planckian physics

    hep-th 2025-07 conditional novelty 6.0 of 10

    A resummed two-point correlator in T-bar-T deformed CFT exhibits oscillation then logarithmic suppression at scales below the Planck length, with an effective distance that depends only logarithmically on separation.

  3. Finite-cutoff Holographic Thermodynamics

    hep-th 2025-07 conditional novelty 6.0 of 10

    Finite-cutoff holography yields a thermodynamic duality between T^2-deformed CFTs and Schwarzschild-AdS black holes with a Dirichlet wall, including a teardrop coexistence curve with up to three states at one temperature.

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