Universal AdS black holes in theories with sixteen supercharges and their microstates

TL;DR

This paper presents a universal microscopic counting method for the microstates of AdS black holes and black strings in supergravity theories with sixteen supercharges, applicable across various string theory backgrounds and dual conformal field theories.

Contribution

It introduces a universal microstate counting approach for AdS black objects in theories with sixteen supercharges, applicable to all relevant M-theory and string backgrounds.

Findings

Universal microstate counting for AdS black holes and strings.

Applicability to all M-theory and type II string backgrounds with AdS vacua.

Connection to supersymmetric indices and the charged Cardy formula.

Abstract

We provide a universal microscopic counting for the microstates of the asymptotically AdS black holes and black strings that arise as solutions of the half-maximal gauged supergravity in four and five dimensions. These solutions can be embedded in all M-theory and type II string backgrounds with an AdS vacuum and sixteen supercharges and provide an infinite set of examples dual to $\mathcal{N}=2$ and $\mathcal{N}=4$ conformal field theories in four and three dimensions, respectively. The counting is universal and it is performed by either studying the large $N$ limit of the relevant supersymmetric index of the dual field theory or by using the charged Cardy formula.