How much can supergravity teach us about microscopic features of BPS black holes?

TL;DR

This paper reviews recent advances in understanding four-dimensional BPS black holes in string theory, focusing on their microscopic descriptions, entropy calculations, and the role of supergravity and U-duality invariants.

Contribution

It provides a comprehensive review of the microscopic and macroscopic analysis of BPS black holes, highlighting the connection between supergravity solutions and microscopic degrees of freedom.

Findings

Microscopic entropy matches supergravity predictions

Generating solutions encode fundamental degrees of freedom

U-duality invariants relate microscopic and macroscopic descriptions

Abstract

We review recent results in the study of regular four dimensional BPS black holes in toroidally compactified type II (or M) theory. We discuss the generating solution for this kind of black holes, its microscopic description(s), and compute the corresponding microscopic entropy. These achievements, which provide a description of the fundamental degrees of freedom accounting for the entropy of any regular BPS black hole in the theory under consideration, are inscribed within a research project aimed to the study of the microscopic properties of this kind of solutions in relation to U--duality invariants computed on the corresponding macroscopic (supergravity) description.