KdV charges in TTbar theories and new models with super-Hagedorn behavior

Author:

Le Floch Bruno1,Mezei Mark2

Affiliation:

1. École Normale Supérieure

2. Stony Brook University

Abstract

Two-dimensional CFTs and integrable models have an infinite set of conserved KdV higher spin currents. These currents can be argued to remain conserved under the T\bar{T}TT deformation and its generalizations. We determine the flow equations the KdV charges obey under the T\bar{T}TT deformation: they behave as probes “riding the Burgers flow” of the energy eigenvalues. We also study a Lorentz-breaking T_{s+1}\bar{T}Ts+1T deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

Funder

Simons Foundation

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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