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Main Authors: Gu, Jie, Jiang, Yunfeng, Wang, Huajia
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2503.19350
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author Gu, Jie
Jiang, Yunfeng
Wang, Huajia
author_facet Gu, Jie
Jiang, Yunfeng
Wang, Huajia
contents 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 $λ$, we develop efficient analytical methods to compute high-order terms of the $λ$-series. Based on the asymptotic behavior of the large-order perturbative series, we show that the $λ$-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.
format Preprint
id arxiv_https___arxiv_org_abs_2503_19350
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Resurgent properties of $T\overline{T}$-deformed conformal field theories
Gu, Jie
Jiang, Yunfeng
Wang, Huajia
High Energy Physics - Theory
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 $λ$, we develop efficient analytical methods to compute high-order terms of the $λ$-series. Based on the asymptotic behavior of the large-order perturbative series, we show that the $λ$-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.
title Resurgent properties of $T\overline{T}$-deformed conformal field theories
topic High Energy Physics - Theory
url https://arxiv.org/abs/2503.19350