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Solving a family of $T\bar{T}$-like theories

by Bruno Le Floch and Márk Mezei

Submission summary

As Contributors: Bruno Le Floch · Mark Mezei
Preprint link: scipost_201905_00001v1
Date submitted: 2019-05-04
Submitted by: Le Floch, Bruno
Submitted to: SciPost Physics
Domain(s): Theoretical
Subject area: High-Energy Physics - Theory

Abstract

We deform two-dimensional quantum field theories by antisymmetric combinations of their conserved currents that generalize Smirnov and Zamolodchikov's $T\bar{T}$ deformation. We obtain that energy levels on a circle obey a transport equation analogous to the Burgers equation found in the $T\bar{T}$ case. This equation relates charges at any value of the deformation parameter to charges in the presence of constant background gauge fields. We determine the initial data and solve the transport equations for antisymmetric combinations of flavor symmetry currents and the stress tensor starting from conformal field theories. Among the theories we solve are conformal field theories deformed by $J\bar{T}$ and $T\bar{T}$ simultaneously. We check our answer against results from AdS/CFT.

Current status:
Editor-in-charge assigned

Submission & Refereeing History

Submission scipost_201905_00001v1 on 4 May 2019

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