Schur indices for $\mathcal{N}=4$ super-Yang-Mills with more general gauge groups
Bao-ning DuMin-xin HuangXin Wang
Bao-ning DuMin-xin HuangXin Wang
Nov 2023
0被引用
0笔记
摘要原文
We study the unflavored Schur indices in the $\mathcal{N}=4$ super-Yang-Mills theory for the $B_n,C_n,D_n, G_2$ gauge groups. We explore two methods, namely the character expansion method and the Fermi gas method, to efficiently compute the $q$-series expansion of the Schur indices to some high orders. Using the available data and the modular properties, we are able to fix the exact formulas for the general gauge groups up to some high ranks and discover some interesting new features. We also identify some empirical modular anomaly equations, but unlike the case of $A_n$ groups, they are quite complicated and not sufficiently useful to fix exact formulas for gauge groups of arbitrary rank.
