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 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.

46 pages. Preprint number, typos and references corrected

References in corpus (27)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• Eleven-Dimensional Supergravity on a Manifold with Boundary
• D-brane Approach to Black Hole Quantum Mechanics
• Supersymmetry and Attractors
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Comments on String Dynamics in Six Dimensions
• Universality of Sypersymmetric Attractors
• Counting States of Near-Extremal Black Holes
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Nonextremal Black Hole Microstates and U-duality
• Anomalies, Dualities, and Topology of D=6 N=1 Superstring Vacua
• Entropy of 4D Extremal Black Holes
• STU Black Holes and String Triality
• Classical and quantum N=2 supersymmetric black holes
• Microscopic Entropy of N=2 Extremal Black Holes
• Universality properties of N=2 and N=1 Heterotic threshold corrections
• Non-Perturbative Properties of Heterotic String Vacua Compactified on $K3\times T^2$
• New Higgs Transitions between Dual N=2 String Models
• Modular Symmetries of N=2 Black Holes
• Heterotic/Heterotic Duality in D=6,4
• Finite-temperature Fermi-edge singularity in tunneling studied using random telegraph signals
• Threshhold Corrections in $K3\times T2$ Heterotic String Compactifications
• Instanton Numbers and Exchange Symmetries in $N=2$ Dual String Pairs
• Supergravity at One Loop II: Chiral and Yang-Mills Matter
• Supergravity Coupled to Chiral and Yang-Mills Matter at One Loop
• Higher-Order Gravitational Couplings and Modular Forms in $N=2,D=4$ Heterotic String Compactifications
• Quantizing N=2 matter-supergravity systems

Cited by in corpus (12)

• Black Holes and Solitons in String Theory
• The Bekenstein Formula and String Theory (N-brane Theory)
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Stationary solutions of N=2 supergravity
• Quantum corrections to the mass of the supersymmetric vortex
• $\mathbf{O}(D,D)$ Covariant Noether Currents and Global Charges in Double Field Theory
• Attractors at weak gravity
• Quantum corrections for D=4 black holes and D=5 strings
• Static N=2 Black Holes For Quadratic Prepotentials
• The Master Equation for the Prepotential-Pub
• Gaugings and other aspects in supergravity
• Towards the Core of the Quantum Monopole