Dualities Compositeness and Spacetime Structure of 4d Extreme Stringy Black Holes

TL;DR

This paper analyzes the spacetime structures of 4d extreme stringy black holes in heterotic string theory, revealing how dualities and bound states influence singularities and near-horizon geometries.

Contribution

It provides a detailed analysis of black hole solutions using duality symmetries, classifies singularities, and explores the structure of bound states in string theory.

Findings

Elementary solutions have naked singularities.

Bound states are either regular or have null singularities.

Near-horizon geometries are products of two 2D constant curvature spaces.

Abstract

We study the BPS black hole solutions of the (truncated) action for heterotic string theory compactified on a six-torus. The O(3,Z) duality symmetry of the theory, together with the bound state interpretation of extreme black holes, is used to generate the whole spectrum of the solutions. The corresponding spacetime structures, written in terms of the string metric, are analyzed in detail. In particular, we show that only the elementary solutions present naked singularities. The bound states have either null singularities (electric solutions) or are regular (magnetic or dyonic solutions) with near-horizon geometries given by the product of two 2d spaces of constant curvature. The behavior of some of these solutions as supersymmetric attractors is discussed. We also show that our approach is very useful to understand some of the puzzling features of charged black hole solutions in string theory.