Properties of Black Holes in Toroidally Compactified String Theory

TL;DR

This paper reviews the properties of black holes in toroidally compactified string theories, detailing their macroscopic and microscopic characteristics, entropy calculations, and interpretations as intersecting p-branes across various dimensions.

Contribution

It provides a comprehensive analysis of charged rotating black hole solutions in compactified string theories, including entropy formulas and duality symmetry applications.

Findings

Explicit black hole solutions characterized by mass, angular momentum, and charges.

Comparison of macroscopic entropy with microscopic string theory calculations.

Interpretation of black holes as intersecting p-branes in M-theory.

Abstract

We review the macroscopic and microscopic properties of black holes of toroidally compactified heterotic and Type II string theory in dimensions 4<=D<=9. General charged rotating black hole solutions are obtained by acting on a generating solution with classical duality symmetries. In D=4, D=5 and 6<=D<=9, the generating solution for both toroidally compactified Type II and heterotic strings is specified by the ADM mass, [(D-1)/2]-angular momentum components and five, three and two charges, respectively. We give the Bekenstein-Hawking entropy for these solutions, address the BPS-saturated limit and compare the results to calculations of the microscopic entropy both in the NS-NS sector and the R-R sector of the theory. We also interpret such black hole solutions as dimensionally reduced intersecting p-branes of M-theory.