# KdV charges in $T\bar{T}$ theories and new models with super-Hagedorn behavior

Authors
Type
Published Article
Publication Date
Oct 01, 2019
Submission Date
Jul 04, 2019
Identifiers
DOI: 10.21468/SciPostPhys.7.4.043
Source
arXiv
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.