$J\bar{T}$ deformed $CFT_2$ and String Theory

TL;DR

This paper investigates a specific irrelevant deformation of 2D conformal field theories involving a conserved current, revealing unique spectral features that could inform holography and black hole physics.

Contribution

It introduces and analyzes the $J\bar{T}$ deformation in 2D CFTs using field and string theory methods, highlighting its spectral properties and potential implications.

Findings

The spectrum exhibits unique features due to the $J\bar{T}$ deformation.

The deformation breaks Lorentz symmetry and is irrelevant.

Insights applicable to holography and black hole physics.

Abstract

We study two dimensional conformal field theory with a left-moving conserved current $J$, perturbed by an irrelevant, Lorentz symmetry breaking operator with the quantum numbers of $J\bar{T}$, using a combination of field and string theoretic techniques. We show that the spectrum of the theory has some interesting features, which may shed light on systems of interest for holography and black hole physics.