T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions
Abstract In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T T ¯ $$ \overline{T} $$ 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 funct...
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Online Access: | https://doi.org/10.1007/JHEP09(2021)061 |
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doaj-2e676c130f0b4de1bda8b37a1017d8512021-09-19T11:57:03ZengSpringerOpenJournal of High Energy Physics1029-84792021-09-012021913510.1007/JHEP09(2021)061T T ¯ $$ \overline{T} $$ -flow effects on torus partition functionsSong He0Yuan Sun1Yu-Xuan Zhang2Center for Theoretical Physics and College of Physics, Jilin UniversityCenter for Theoretical Physics and College of Physics, Jilin UniversityCenter for Theoretical Physics and College of Physics, Jilin UniversityAbstract In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T T ¯ $$ \overline{T} $$ 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.https://doi.org/10.1007/JHEP09(2021)061Conformal Field TheoryField Theories in Lower DimensionsIntegrable Field TheoriesRenormalization Regularization and Renormalons |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Song He Yuan Sun Yu-Xuan Zhang |
spellingShingle |
Song He Yuan Sun Yu-Xuan Zhang T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions Journal of High Energy Physics Conformal Field Theory Field Theories in Lower Dimensions Integrable Field Theories Renormalization Regularization and Renormalons |
author_facet |
Song He Yuan Sun Yu-Xuan Zhang |
author_sort |
Song He |
title |
T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions |
title_short |
T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions |
title_full |
T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions |
title_fullStr |
T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions |
title_full_unstemmed |
T T ¯ $$ \overline{T} $$ -flow effects on torus partition functions |
title_sort |
t t ¯ $$ \overline{t} $$ -flow effects on torus partition functions |
publisher |
SpringerOpen |
series |
Journal of High Energy Physics |
issn |
1029-8479 |
publishDate |
2021-09-01 |
description |
Abstract In this paper, we investigate the partition functions of conformal field theories (CFTs) with the T T ¯ $$ \overline{T} $$ 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. |
topic |
Conformal Field Theory Field Theories in Lower Dimensions Integrable Field Theories Renormalization Regularization and Renormalons |
url |
https://doi.org/10.1007/JHEP09(2021)061 |
work_keys_str_mv |
AT songhe ttoverlinetfloweffectsontoruspartitionfunctions AT yuansun ttoverlinetfloweffectsontoruspartitionfunctions AT yuxuanzhang ttoverlinetfloweffectsontoruspartitionfunctions |
_version_ |
1717375308305268736 |