We calculate the torus partition sum of a general CFT2 with left and right moving conserved currents J and $$ \overline{J} $$, perturbed by a combination of the irrelevant operators $$ T\overline{T},J\overline{T} $$ and $$ T\overline{J} $$. We use string theory techniques to write it as an integral transform of the partition sum of the unperturbed CFT with chemical potentials for the left and right moving conserved charges. The resulting expression transforms in the right way under the modular group, and reproduces the known spectrum of these models. We also derive a formula for the partition function of deformed CFT2 with non-vanishing chemical potentials.

中文翻译：

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TT¯,JT¯,TJ¯$$ T\overline{T},J\overline{T},T\overline{J} $$ 来自弦论的分区和

我们计算具有左右移动守恒电流 J 和 $$ \overline{J} $$ 的一般 CFT2 的环面分区和，受到不相关运算符 $$ T\overline{T},J\overline{ 的组合的干扰T} $$ 和 $$ T\overline{J} $$。我们使用弦理论技术将其写成未受扰动 CFT 的分区和的积分变换，具有左右移动守恒电荷的化学势。由此产生的表达式在模块化组下以正确的方式转换，并重现这些模型的已知频谱。我们还推导出具有非零化学势的变形 CFT2 的分配函数的公式。