KdV charges in TT theories and new models with super-Hagedorn behavior
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 TT deformation and its generalizations. We determine the flow equations the KdV charges obey under the TT deformation: they behave as probes "riding the Burgers flow" of the energy eigenvalues. We also study a Lorentz-breaking Ts+1T deformation built from a KdV current and the stress tensor, and find a super-Hagedorn growth of the density of states.
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