Stringy origin of 4d black hole microstates

TL;DR

This paper establishes a detailed correspondence between microstate geometries of 4d BPS black holes and open string condensates, using string amplitude calculations to connect supergravity solutions with D-brane configurations.

Contribution

It provides a precise dictionary linking supergravity microstate geometries to open string condensates for intersecting D3-branes on a six-torus, advancing understanding of black hole microstates.

Findings

Derived the multipole expansion of supergravity solutions from string amplitudes.

Connected supergravity microstates to open string condensates.

Enhanced the microscopic understanding of 4d BPS black hole microstates.

Abstract

We derive a precise dictionary between micro-state geometries and open string condensates for a large class of excitations of four dimensional BPS black holes realised in terms of D3-branes intersecting on a six-torus. The complete multipole expansion of the supergravity solutions at weak coupling is extracted from string amplitudes involving one massless closed string and multiple open strings insertions on disks with mixed boundary conditions.