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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
Preprint Link:  (pdf)
Date accepted: 2018-10-03
Date submitted: 2018-09-18 02:00
Submitted by: Guica, Monica
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • High-Energy Physics - Theory
Approach: Theoretical


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)

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