A review of the D1/D5 system and five dimensional black hole from supergravity and brane viewpoint
Gautam Mandal
TL;DR
The work surveys how the D1/D5 system provides a concrete, microscopically tractable model of a five-dimensional black hole in string theory. It combines classically constructed supergravity solutions with a D-brane-based Higgs branch SCFT on the D1/D5 system, whose microstates reproduce the extremal entropy via Cardy counting and whose instanton moduli space describes the bound-state dynamics. The analysis shows that near-horizon AdS/CFT duality accurately accounts for Hawking radiation and absorption cross-sections, with the D-brane picture yielding a unitary description of black-hole thermodynamics and radiation. The discussion extends to non-supersymmetric cases and the broader implications for the correspondence principle and black hole complementarity, highlighting a holographic framework in which bulk gravity and boundary CFT provide a unified account of black-hole microphysics.
Abstract
We review some aspects of the D1/D5 system of type IIB string theory and the associated five dimensional black hole. We include a pedagogical discussion of the construction of relevant classical solutions in supergravity. We discuss the gauge theory and the conformal field theory relevant to D-brane description of these systems. In order to discuss Hawking radiation we are automatically led to a discussion of near-horizon geometries and their relation to gauge theories and conformal field theories. We show how inputs from AdS/CFT correspondence resolve some earlier puzzles regarding Hawking radiation. Besides the D1/D5 system, we include a brief discussion of some nonsupersymmetric systems which show unexpected agreement between supergravity and perturbative brane/string computations. We also comment briefly on possible implications of the AdS/CFT relation for the correspondence principle and for the principle of black hole complementarity.