Supersymmetric Quantum Mechanical Description of Four Dimensional Black Holes

TL;DR

This paper develops a quantum mechanical model for four-dimensional supersymmetric black holes in string theory, linking D-brane interactions to AdS2/CFT1 duality, supported by index calculations.

Contribution

It introduces a novel supersymmetric quantum mechanical framework for black holes derived from D-brane interactions, providing a new perspective on black hole microstates.

Findings

Quantum system reduces to two conformal quantum mechanics models at low energy

Index calculations support the supersymmetric black hole conjecture

Model aligns with expected AdS2/CFT1 duality properties

Abstract

By assuming the existence of a novel multipronged string state for D-particles interacting with D-brane intersections in type IIA string theory, we are able to derive a quantum mechanical description of supersymmetric Reissner-Nordstrom black holes. A supersymmetric index calculation provides evidence for this conjecture. The quantum mechanical system becomes two decoupled conformal quantum mechanical systems in the low energy limit. The conformal quantum mechanics has expected properties of a dual description of string theory on $AdS_2\times S^2$.