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Title
Schur indices forN=4super-Yang-Mills with moregeneral gauge groups
KIAS Author
Wang, Xin
Journal
JOURNAL OF HIGH ENERGY PHYSICS, 2024
Archive
Abstract
We study the unflavored Schur indices in theN=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.