# An integrable Lorentz-breaking deformation of two-dimensional CFTs

### Submission summary

 As Contributors: Monica Guica Arxiv Link: https://arxiv.org/abs/1710.08415v2 (pdf) Date accepted: 2018-10-03 Date submitted: 2018-09-18 02:00 Submitted by: Guica, Monica Submitted to: SciPost Physics Academic field: Physics Specialties: High-Energy Physics - Theory Approach: Theoretical

### 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.

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Published as SciPost Phys. 5, 048 (2018)