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An integrable Lorentz-breaking deformation of two-dimensional CFTs
by Monica Guica
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Submission summary
| Authors (as registered SciPost users): | Monica Guica |
| Submission information | |
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| Preprint 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 |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| 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.
List of changes
comments and references added, a factor of 2 corrected
Published as SciPost Phys. 5, 048 (2018)