An integrable Lorentz-breaking deformation of two-dimensional CFTs
Monica Guica
SciPost Phys. 5, 048 (2018) · published 12 November 2018
- doi: 10.21468/SciPostPhys.5.5.048
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Abstract
It has been recently shown that the deformation of an arbitrary two-dimensional conformal field theory by the composite irrelevant operator $T \bar T$, built from the components of the stress tensor, is solvable; in particular, the finite-size spectrum of the deformed theory can be obtained from that of the original CFT through a universal formula. We study a similarly universal, Lorentz-breaking deformation of two-dimensional CFTs that posess a conserved $U(1)$ current, $J$. The deformation takes the schematic form $J \bar T$ and is interesting because it preserves an $SL(2,\mathbb{R}) \times U(1)$ subgroup of the original global conformal symmetries. For the case of a purely (anti)chiral current, we find the finite-size spectrum of the deformed theory and study its thermodynamic properties. We test our predictions in a simple example involving deformed free fermions.
TY - JOUR
PB - SciPost Foundation
DO - 10.21468/SciPostPhys.5.5.048
TI - An integrable Lorentz-breaking deformation of two-dimensional CFTs
PY - 2018/11/12
UR - https://www.scipost.org/SciPostPhys.5.5.048
JF - SciPost Physics
JA - SciPost Phys.
VL - 5
IS - 5
SP - 048
A1 - Guica, Monica
AB - It has been recently shown that the deformation of an arbitrary two-dimensional conformal field theory by the composite irrelevant operator $T \bar T$, built from the components of the stress tensor, is solvable; in particular, the finite-size spectrum of the deformed theory can be obtained from that of the original CFT through a universal formula. We study a similarly universal, Lorentz-breaking deformation of two-dimensional CFTs that posess a conserved $U(1)$ current, $J$. The deformation takes the schematic form $J \bar T$ and is interesting because it preserves an $SL(2,\mathbb{R}) \times U(1)$ subgroup of the original global conformal symmetries. For the case of a purely (anti)chiral current, we find the finite-size spectrum of the deformed theory and study its thermodynamic properties. We test our predictions in a simple example involving deformed free fermions.
ER -@Article{10.21468/SciPostPhys.5.5.048,
title={{An integrable Lorentz-breaking deformation of two-dimensional CFTs}},
author={Monica Guica},
journal={SciPost Phys.},
volume={5},
pages={048},
year={2018},
publisher={SciPost},
doi={10.21468/SciPostPhys.5.5.048},
url={https://scipost.org/10.21468/SciPostPhys.5.5.048},
}
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Author / Affiliations: mappings to Contributors and Organizations
See all Organizations.- 1 2 3 4 Monica Guica
- 1 Commissariat à l'énergie atomique / CEA Saclay [CEA Saclay]
- 2 Kungliga Tekniska högskolan / Royal Institute of Technology [KTH]
- 3 Stockholm University [Univ Stockholm]
- 4 Uppsala universitet / Uppsala University
Funders for the research work leading to this publication