An integrable Lorentz-breaking deformation of two-dimensional CFTs

By Monica Guica. SciPost Physics, 2017

212 citations recorded by the source corpus.

It has been recently shown that the deformation of an arbitrary two-dimensional conformal field theory by the composite irrelevant operator T \bar TTT‾, 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 possess a conserved U(1)U(1) current, JJ. The deformation takes the schematic form J \bar TJT‾ and is interesting because it preserves an SL(2,\mathbb{R}) \times U(1)SL(2,ℝ)×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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a6a6292361eaff59e6ebb620b8a599f1a3e63e15

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Citations in the corpus

TT deformations in general dimensions (2018, unknown): “As highlighted in [4, 6, 9], the T ¯ T operator is not sufficient to describe AdS 3 gravity with matter: for example, additional deformations are required if one includes bulk scalars and gauge fields.”
TT¯\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ T\overline{T} $$\end{document} -deformations in closed form (2018, methodology): “This is akin to the observation made in [13] for a Lorentz-breaking irrelevant deformation analogous to T T̄ .”
A theory of reparameterizations for AdS3 gravity (2018, methodology): “erned, one can study the TT deformation directly by a suitable deformation of the theory of boundary gravitons obtained in this manuscript, just as one can study the Lorentz-breaking JT deformation [99] of Einstein gravity with a U(1) Chern-Simons theory. One loose end left by our work is a puzzle r”