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

Bruno Le Floch; M\'ark Mezei

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

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arxiv 1907.02516 v2 pith:IW3C62AT submitted 2019-07-04 hep-th

Bruno Le Floch , Márk Mezei This is my paper · ORCID

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keywords deformationchargesconservedcurrentsflowmodelssuper-hagedornunder

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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.

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Integrability and Renormalization under $T \bar T$
hep-th 2019-09 conditional novelty 6.0 of 10

At one loop, the renormalized Lagrangian of the T Tbar-deformed massive scalar splits the two quartic couplings, making g and h unequal, in contrast to the classical Lagrangian.

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