The 4d superconformal index near roots of unity and 3d Chern-Simons theory

Arash Arabi Ardehali, Sameer Murthy

We consider the $S^3\times S^1$ superconformal index $\mathcal{I}(\tau )$ of 4d $\mathcal{N}=1$ gauge theories. The Hamiltonian index is defined in a standard manner as the Witten inde…