$T\overline T$ deformations of non-Lorentz invariant field theories

TL;DR

This paper extends the concept of $T\overline T$ deformations from Lorentz-invariant to non-Lorentz-invariant 2D field theories, deriving their finite-size spectrum and S-matrix.

Contribution

It generalizes $T\overline T$ deformations to non-Lorentz invariant theories, including non-relativistic and Lifshitz-type models, with new spectral and scattering results.

Findings

Finite-size spectrum of deformed theories derived

S-matrix of deformed theories computed

Applicable to non-relativistic and Lifshitz theories

Abstract

We point out that the arguments of Zamolodchikov and others on the $T\overline T$ and similar deformations of two-dimensional field theories may be extended to the more general non-Lorentz invariant case, for example non-relativistic and Lifshitz-type theories. We derive results for the finite-size spectrum and $S$-matrix of the deformed theories.