Extreme dyonic black holes in string theory

TL;DR

This paper explores the conformal sigma models describing extreme dyonic black holes in string theory, revealing a universal relation between black hole entropy and string state entropy.

Contribution

It introduces conformal models for black holes in string theory and suggests a universal entropy relation based on solitonic string configurations.

Findings

Conformal sigma models describe black hole configurations.

Short-distance regions relate to WZW theories.

Proposed universal entropy relation for BPS states.

Abstract

Supersymmetric extreme dyonic black holes of toroidally compactified heterotic or type II string theory can be viewed as lower-dimensional images of solitonic strings wound around a compact dimension. We consider conformal sigma models which describe string configurations corresponding to various extreme dyonic black holes in four and five dimensions. These conformal models have regular short-distance region equivalent to a WZW theory with level proportional to magnetic charges. Arguments are presented suggesting a universal relation between the black hole entropy (area) and the statistical entropy of BPS-saturated oscillation states of solitonic string.[Extended version of a talk at the Workshop "Frontiers in Quantum Field Theory", in honor of the 60th birthday of K. Kikkawa (Osaka, Japan, 14-17 December 1995)]