An integrable Lorentz-breaking deformation of two-dimensional CFTs

Guica, Monica

doi:10.21468/SciPostPhys.5.5.048

SciPost Physics

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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Submissions/Reports

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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Ontology / Topics

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Conformal field theory (CFT) Free fermions Lorentz invariance

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¹ ² ³ ⁴ Monica Guica

Funders for the research work leading to this publication

European Research Council [ERC]
Knut och Alice Wallenbergs Stiftelse (Knut and Alice Wallenberg Foundation) (through Organization: Knut och Alice Wallenbergs Stiftelse / Knut and Alice Wallenberg Foundation)
Vetenskapsrådet / Swedish Research Council