We consider a univariate beta integral composed of general modular quantum dilogarithm functions and prove its exact evaluation formula. It represents the partition function of a particular 3d supersymmetric field theory on the general squashed lens space. Its possible applications to 2d conformal field theory are briefly discussed as well.

中文翻译：

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通用模块化量子对数和Beta积分

我们考虑了由一般模块化量子对数函数组成的单变量β积分，并证明了其精确的计算公式。它代表了特殊的3d超对称场理论在一般压扁透镜空间上的分配函数。还简要讨论了其在二维共形场理论中的可能应用。