Classical and quantum aspects of BPS black holes in N = 2, D = 4 heterotic string compactifications

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 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 obtain 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.

Towards the core of the quantum monopole

“…We have shown that the solutions of the quantum corrected BPS equations are such that the local central charge always has constant phase as one approaches the center of the monopole. We further showed that this equation can be rewritten in a form analogous to the attractor equation and concluded that we are studying the attractor mechanism with gravity turned off as was previously concluded in [3][4][5].…”

Black holes and solitons in string theory

“…In the following, we study the effect of the quantum correction terms of the prepotential on the classical solutions [123,54,514,50,51].…”

“…The condition that Sl(2, R) is broken down to Sl(2, Z) so that M 2 with the coprime integers {p 1 , p 2 } remains non-singular after the transformation is translated into the type-IIB language that the Sl(2, R) symmetry of the equations of motion is broken down to the Sl(2, Z) S-duality symmetry of type-IIB string theory. In the following we discuss particular cases of (514). We first consider the solution (514) with U = diag(H 1 (x 1 ), H 2 (x 2 )) and H = 1.…”

Attractors at weak gravity

“…The attractor equations can also be obtained from the requirement of conservation of one half of the supersymmetries [4,20,21,22]. Solutions and generalisations have been discussed for example in [20,21,22,23].…”