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arXiv · 2503.19350

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

Jie Gu·Yunfeng Jiang·Huajia Wang
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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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Jie Gu, Yunfeng Jiang, Huajia Wang. 2025-03-25. Resurgent properties of $T\overline{T}$-deformed conformal field theories. https://arxiv.org/abs/2503.19350

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