Residues, modularity, and the Cardy limit of the 4d $\mathcal{N}=4$ superconformal index

Kevin Goldstein, Vishnu Jejjala, Yang Lei +2

We compute the superconformal index of the $\mathcal{N}=4$ $SU(N)$ Yang-Mills theory through a residue calculation. The method is similar in spirit to the Bethe Ansatz formalism, e…