CLASSICAL AND QUANTUM ASPECTS OF BPS BLACK HOLES IN N=2, D=4 HETEROTIC STRING COMPACTIFICATIONS

摘要

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 a background consisting of a BPS soliton or a black hole and provide a simpler but. more general derivation of the Ferrara-Kallosh 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, the 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 obtain the exact BPS black hole mass and entropy in terms of the renormalized string loop-counting parameter and renormalized moduli fields, We show that a 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. (C) 1997 Elsevier Science B.V. [References: 96]