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  • Open Access

Resurgent properties of TT¯-deformed conformal field theories

Jie Gu1, Yunfeng Jiang1,2,*, and Huajia Wang3,2,†

  • *Contact author: jinagyf2008@seu.edu.cn
  • †Contact author: wanghuajia@ucas.ac.cn

Phys. Rev. D 112, 045007 – Published 21 August, 2025

DOI: https://doi.org/10.1103/dvwg-9jcy

Abstract

We elaborate on the resurgence analysis on the TT¯-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 nonperturbative 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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Resurgence of TT¯-Deformed Partition Function

Jie Gu, Yunfeng Jiang, and Huajia Wang
Phys. Rev. Lett. 135, 081601 (2025)

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