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KdV charges and the generalized torus partition sum in TT‾ deformation
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-27 , DOI: 10.1016/j.nuclphysb.2020.115119
Meseret Asrat

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.



中文翻译:

KdV电荷和中的广义环划分和 ŤŤ 形变

我们在量子场论中考虑KdV电流,该量子场论是通过不相关算子使二维共形场理论变形而获得的 ŤŤ。在本文中,我们确定了它们的环面单点函数的模块化特性。我们发现单点函数分解为两个非全同构模形式的直接和。我们还获得了KdV广义圆环划分和满足的一般微分方程。微分方程提供了一个非扰动的描述ŤŤ 理论变形。

更新日期:2020-07-31
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