论文标题
$ \ mathcal {n} = 4 $ super-yang-mills的Schur索引的模块化异常方程
Modular Anomaly Equation for Schur Index of $\mathcal{N}=4$ Super-Yang-Mills
论文作者
论文摘要
我们为$ \ Mathcal {n} = 4 $ $ $ su（n）$ super-yang-mills理论提出了一个新颖的模块化异常方程。消失的条件过分确定了模块化的歧义ansatz从方程式中，因此它们足以递归地计算所有$ su（n）$量规组的确切SCHUR指数。然后，使用这些表示形式为Macmahon的广义划分函数和Jacobi形式，然后我们证明了我们的建议，并阐明了PAN和Peelaers猜想的一般公式。
We propose a novel modular anomaly equation for the unflavored Schur index in the $\mathcal{N}=4$ $SU(N)$ super-Yang-Mills theory. The vanishing conditions overdetermine the modular ambiguity ansatz from the equation, thus together they are sufficient to recursively compute the exact Schur indices for all $SU(N)$ gauge groups. Using the representations as MacMahon's generalized sum-of-divisors functions and Jacobi forms, we then prove our proposal as well as elucidate a general formula conjectured by Pan and Peelaers.
