Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications

TL;DR

This paper investigates classical and quantum properties of BPS black holes in N=2, D=4 heterotic string compactifications, deriving exact mass and entropy formulas and analyzing quantum corrections and duality implications.

Contribution

It provides a general derivation of black hole mass and entropy, establishes a non-renormalization theorem, and explores quantum effects and dualities in heterotic string black holes.

Findings

Quantum effects modify BPS mass spectra via renormalizations.

Exact BPS black hole mass and entropy are obtained through a non-renormalization theorem.

Similar results hold for non-perturbative corrections in the large T_2 limit.

Abstract

We study classical and quantum aspects of D=4, N=2 BPS black holes for T_2 compactification of D=6, N=1 heterotic string vacua. We extend dynamical relaxation phenomena of moduli fields to background consisting of a BPS soliton or a black hole and provide a simpler but more general derivation of the Ferrara-Kallosh's extremized black hole mass and entropy. We study quantum effects to the BPS black hole mass spectra and to their dynamical relaxation. We show that, despite non-renormalizability of string effective supergravity, quantum effect modifies BPS mass spectra only through coupling constant and moduli field renormalizations. Based on target-space duality, we establish a perturbative non-renormalization theorem and obatin exact BPS black hole mass and entropy in terms of renormalized string loop-counting parameter and renormalized moduli fields. We show that similar conclusion holds, in the large T_2 limit, for leading non- perturbative correction. We finally discuss implications to type-I and type-IIA Calabi -Yau black holes.