Black holes and branes in string theory

Abstract

This is a set of introductory lecture notes on black holes in string theory. After reviewing some aspects of string theory such as dualities, brane solutions, supersymmetric and non-extremal intersection rules, we analyze in detail extremal and non-extremal 5d black holes. We first present the D-brane counting for extremal black holes. Then we show that 4d and 5d non-extremal black holes can be mapped to the BTZ black hole (times a compact manifold) by means of dualities. The validity of these dualities is analyzed in detail. We present an analysis of the same system in the spirit of the adS/CFT correspondence. In the ``near-horizon'' limit (which is actually a near inner-horizon limit for non-extremal black holes) the black hole reduces again to the BTZ black hole. A state counting is presented in terms of the BTZ black hole.

Erice lecture notes, Latex, 44p; references added; typos corrected

References in corpus (33)

• The World as a Hologram
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• String Solitons
• AdS3 Black Holes and a Stringy Exclusion Principle
• D-brane Approach to Black Hole Quantum Mechanics
• The Holographic Bound in Anti-de Sitter Space
• Duality, Quotients, and Currents
• The asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant
• Vacuum interpolation in supergravity via super p-branes
• Harmonic superpositions of M-branes
• Statistical Entropy of Four-Dimensional Extremal Black Holes
• Exact Three Dimensional Black Holes in String Theory
• The Statistical Mechanics of the (2+1)-Dimensional Black Hole
• Some Global Aspects of Duality is String Theory
• Instantons on D-branes
• Black Holes in String Theory
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Macroscopic and Microscopic Entropy of Near-Extremal Spinning Black Holes
• Charged Black Holes in Two-Dimensional String Theory
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• Intersection Rules for Non-Extreme $p$-Branes
• Intersecting Branes
• Duality and Moduli Spaces for Time-Like Reductions
• T-duality and world-sheet supersymmetry
• Intersections involving waves and monopoles in eleven dimensions
• U-duality between Three and Higher Dimensional Black Holes
• A Comment on String Solitons
• D-Instantons and asymptotic geometries
• Statistical entropy of charged two-dimensional black holes
• BTZ black holes and the near-horizon geometry of higher-dimensional black holes
• Dilaton transformation under abelian and non-abelian T-duality in the path integral approach
• Unwinding strings and T-duality of Kaluza-Klein and H-Monopoles

Cited by in corpus (13)

• Selected solutions of Einstein's field equations: their role in general relativity and astrophysics
• Effective Conformal Descriptions of Black Hole Entropy
• Hawking Radiation from Non-Extremal D1-D5 Black Hole via Anomalies
• On alpha'-corrections to D-brane solutions
• A New Spin on the Weak Gravity Conjecture
• Entropy Function for Non-Extremal Black Holes in String Theory
• Consistent Truncation to Three Dimensional (Super-)gravity
• AdS/CFT dualities involving large 2d N=4 superconformal symmetry
• Black holes and thermodynamics - The first half century
• Localized Intersections of Non-Extremal p-branes and S-branes
• Holography and hydrodynamics for EMD theory with two Maxwell fields
• The rotating black hole interior: Insights from gravitational collapse in $Ad{S}_3$ spacetime
• Intersections of S-branes with Waves and Monopoles