$T\bar{T}$-flow effects on torus partition functions
Abstract
In this paper, we investigate the partition functions of conformal field theories (CFTs) with the deformation on a torus in terms of the perturbative QFT approach. In Lagrangian path integral formalism, the first- and second-order deformations to the partition functions of 2D free bosons, free Dirac fermions, and free Majorana fermions on a torus are obtained. The corresponding Lagrangian counterterms in these theories are also discussed. The first two orders of the deformed partition functions and the first-order vacuum expectation value (VEV) of the first quantum KdV charge obtained by the perturbative QFT approach are consistent with results obtained by the Hamiltonian formalism in literature.
Cite
@article{arxiv.2011.02902,
title = {$T\bar{T}$-flow effects on torus partition functions},
author = {Song He and Yuan Sun and Yu-Xuan Zhang},
journal= {arXiv preprint arXiv:2011.02902},
year = {2021}
}
Comments
40 pages, 1 figure; v4: Match the published version in JHEP