Regular 3-charge 4D black holes and their microscopic description

TL;DR

This paper constructs regular three-charge supersymmetric black holes in 4D from string theory corrections, uplifts them to M-theory, and provides a microscopic D3-brane interpretation of their entropy.

Contribution

It introduces a method to derive regular 4D black holes with three charges from string theory corrections and relates them to D3-brane systems for microscopic entropy understanding.

Findings

Black hole entropy scales as (p^1 p^2 p^3)^{2/3}

M-theory uplift reveals a conical singularity origin

Microscopic D3-brane system explains entropy

Abstract

The perturbative $\alpha^{\prime}$ corrections to Type-IIA String Theory compactified on a Calabi-Yau three-fold allow the construction of regular three-charge supersymmetric black holes in four dimensions, whose entropy scales with the charges as $S \sim \left( p^1 p^2 p^3\right)^{\frac{2}{3}} $. We construct an M-theory uplift of these quantum black holes and show that they can be interpreted as arising from three stacks of M2 branes on a conical singularity. This in turns allow us relate them via a series of dualities to a system of D3 branes carrying momentum and thus to give a microscopic interpretation of their entropy.