1. T T¯-flow effects on torus partition functions
- Author
-
He, Song, Sun, Yuan, and Zhang, Yu-Xuan
- Subjects
High Energy Physics - Theory ,High Energy Physics - Theory (hep-th) ,High Energy Physics::Phenomenology ,FOS: Physical sciences - Abstract
In this paper, we investigate the partition functions of conformal field theories (CFTs) with the $T\bar{T}$ 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., Comment: 40 pages, 1 figure; v4: Match the published version in JHEP
- Published
- 2021