Speaker
Description
We study the gravitational origin of the logarithmic term arising in the superconformal index of four-dimensional $\mathcal{N}=1$ SCFTs, both in the Cardy-like limit and in the large-$N$ limit, focusing on its interpretation in terms of discrete symmetries and saddle degeneracy. On the field-theory side, this contribution is associated with the spontaneous breaking of an electric $\mathbb{Z}_N$ one-form symmetry, which leads to the appearance of $N$ degenerate saddle points contributing equally to the index.
We analyze the gravitational realization of this saddle degeneracy by studying the infinite-volume limit of a supersymmetric non-extremal AdS$_5$ black hole solution, and reproduce the $\log N$ term by working within an appropriate 5d consistent truncation of type IIB supergravity.