English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse
  1. Start / 
  2. Item Summary

Item

ITEM ACTIONSEXPORT
Add to Basket
  DetailsSummary

Released
Paper

T\barT-flow effects on torus partition functions

MPS-Authors
/persons/resource/persons2717

He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2011.02902.pdf
(Preprint), 671KB

Supplementary Material (public)
There is no public supplementary material available
Citation

He, S., Sun, Y., & Zhang, Y.-X. (in preparation). T\barT-flow effects on torus partition functions.


Cite as: https://hdl.handle.net/21.11116/0000-0007-6B93-B
Abstract
In this paper, we investigate the partition functions of the conformal field
theories (CFTs) with the $T\bar{T}$ deformation on torus in terms of
perturbative QFT approach. In path integral formalism, the first and second
order deformations to the partition functions of the 2D free boson, free Dirac
fermion and free Majornana fermion on torus are obtained. In the free fermion,
we find that the first two orders of the deformed partition functions are
consistent with results obtained by the operator formalism. In the free boson,
the first order of the deformation to the partition function is the same as the
deformed partition function given by the operator formalism, however, the
second order correction to the partition function contains additional
contribution from the $T\bar{T}-$flow effect in the path integral formalism.