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

Kavli Affiliate: Huajia Wang

| First 5 Authors: Jie Gu, Yunfeng Jiang, Huajia Wang, ,

| Summary:

We elaborate on the resurgence analysis on the $Toverline{T}$-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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