Black Hole Bound State Metamorphosis

TL;DR

This paper explains how multi-centered black hole configurations in N=4 supersymmetric string theories accurately reproduce the microscopic count of negative discriminant states, clarifying the physical basis for their identification.

Contribution

It provides a physical explanation for the identification rules of multi-centered black holes, ensuring consistency with microscopic state counts without arbitrary assumptions.

Findings

Multi-centered black hole configurations match microscopic state counts.

Identification rules are physically justified.

Negative discriminant states are accounted for accurately.

Abstract

N=4 supersymmetric string theories contain negative discriminant states whose numbers are known precisely from microscopic counting formulae. On the macroscopic side, these results can be reproduced by regarding these states as multi-centered black hole configurations provided we make certain identification of apparently distinct multi-centered black hole configurations according to a precise set of rules. In this paper we provide a physical explanation of such identifications, thereby establishing that multi-centered black hole configurations reproduce correctly the microscopic results for the number of negative discriminant states without any ad hoc assumption.