Introduction to black hole entropy and supersymmetry

Abstract

In these lectures we introduce some of the principles and techniques that are relevant for the determination of the entropy of extremal black holes by either string theory or supergravity. We consider such black holes with N=2 and N=4 supersymmetry, explaining how agreement is obtained for both the terms that are leading and those that are subleading in the limit of large charges. We discuss the relevance of these results in the context of the more recent developments.

arXiv comment22 pages (LaTex). Based on lectures presented at the III Summer School in Modern Mathematical Physics, Zlatibor, 20 -- 31 August, 2004. To be published in the proceedings

References in corpus (15)

• N=2 Extremal Black Holes
• Supersymmetry and Attractors
• Black Hole Entropy in M-Theory
• Black Hole Attractors and the Topological String
• Macroscopic Entropy of $N=2$ Extremal Black Holes
• Exact Counting of Black Hole Microstates
• How Does a Fundamental String Stretch its Horizon?
• Hartle-Hawking Wave-Function for Flux Compactifications
• Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
• Asymptotic level density in heterotic string theory and rotating black holes
• Fivebrane Instantons and $R^2$ couplings in $N=4$ String Theory
• Higher-Order Black-Hole Solutions in N=2 Supergravity and Calabi-Yau String Backgrounds
• Attractors and the Holomorphic Anomaly
• Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states
• Exactly Soluble BPS Black Holes in Higher Curvature N=2 Supergravity

Cited by in corpus (3)

• On the Thermodynamic Geometry of BTZ Black Holes
• N=2 Supersymmetric Black Attractors in Six and Seven Dimensions
• Thermodynamic Geometry: Evolution, Correlation and Phase Transition