Black holes and branes in string theory

TL;DR

This paper provides an introductory overview of black holes in string theory, focusing on dualities, brane solutions, and the analysis of extremal and non-extremal 5d black holes, including their relation to BTZ black holes and the adS/CFT correspondence.

Contribution

It offers a comprehensive introduction to black holes in string theory, detailing dualities, brane solutions, and the mapping of black holes to BTZ black holes, with an analysis of their dual descriptions.

Findings

D-brane counting for extremal black holes

Mapping of 4d and 5d non-extremal black holes to BTZ black holes

Near-horizon analysis relating black holes to BTZ black holes in adS/CFT

Abstract

This is a set of introductory lecture notes on black holes in string theory. After reviewing some aspects of string theory such as dualities, brane solutions, supersymmetric and non-extremal intersection rules, we analyze in detail extremal and non-extremal 5d black holes. We first present the D-brane counting for extremal black holes. Then we show that 4d and 5d non-extremal black holes can be mapped to the BTZ black hole (times a compact manifold) by means of dualities. The validity of these dualities is analyzed in detail. We present an analysis of the same system in the spirit of the adS/CFT correspondence. In the ``near-horizon'' limit (which is actually a near inner-horizon limit for non-extremal black holes) the black hole reduces again to the BTZ black hole. A state counting is presented in terms of the BTZ black hole.