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

### Submission summary

 As Contributors: Bruno Le Floch Preprint link: scipost_201907_00001v1 Date submitted: 2019-07-06 Submitted by: Le Floch, Bruno Submitted to: SciPost Physics Domain(s): Theoretical Subject area: High-Energy Physics - Theory

### 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 $T\bar{T}$ deformation and its generalizations. We determine the flow equations the KdV charges obey under the $T\bar{T}$ deformation: they behave as probes riding the Burgers flow'' of the energy eigenvalues. We also study a Lorentz-breaking $T_{s+1}\bar{T}$ deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.

###### Current status:
Editor-in-charge assigned

### Submission & Refereeing History

Submission scipost_201907_00001v1 on 6 July 2019