Elsevier

Nuclear Physics B

Volume 958, September 2020, 115119
Nuclear Physics B

KdV charges and the generalized torus partition sum in TT deformation

https://doi.org/10.1016/j.nuclphysb.2020.115119Get rights and content
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Abstract

We consider KdV currents in a quantum field theory obtained by deforming a two dimensional conformal field theory via the irrelevant operator TT. In this paper we determine their torus one–point functions modular properties. We find that the one–point functions decompose into a direct sum of two non–holomorphic modular forms. We also obtain a general differential equation that the KdV generalized torus partition sum satisfies. The differential equation provides a non–perturbative description of TT deformed theories.

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