$SL(3,\mathbb{Z})$ Modularity and New Cardy Limits of the $\mathcal{N}=4$ Superconformal Index

Vishnu Jejjala, Yang Lei, Sam van Leuven +1

The entropy of $1/16$-th BPS AdS${}_5$ black holes can be microscopically accounted for by the superconformal index of the $\mathcal{N}=4$ super-Yang-Mills theory. One way to compute…