Black hole - D-brane correspondence: An example

TL;DR

This paper demonstrates a specific correspondence between D3-branes compactified on a particular space and four-dimensional black hole solutions, establishing a concrete link in string theory.

Contribution

It provides an explicit example of the D-brane and black hole correspondence using boundary state descriptions and supergravity solutions.

Findings

D3-brane compactified on T^6/Z_3 corresponds to a four-dimensional extremal black hole.

Boundary state description matches supergravity black hole solutions.

Establishes a concrete example of D-brane/black hole duality.

Abstract

We explore the connection between D-branes and black holes in one particular case: a $D3$-brane compactified to four dimensions on $T^6/Z_3$. Using the $D$-brane boundary state description we show the equivalence with a double extremal N=2 black hole solution of four dimensional supergravity.