Gauge Theory Description of D-brane Black Holes: Emergence of the Effective SCFT and Hawking Radiation

Abstract

We study the hypermultiplet moduli space of an N=4, U(Q_1)xU(Q_5) gauge theory in 1+1 dimensions to extract the effective SCFT description of near extremal 5-dimensional black holes modelled by a collection of D1- and D5-branes. On the moduli space, excitations with fractional momenta arise due to a residual discrete gauge invariance. It is argued that, in the infra-red, the lowest energy excitations are described by an effective c=6, N=4 SCFT on T^4, also valid in the large black hole regime. The ``effective string tension'' is obtained using T-duality covariance. While at the microscopic level, minimal scalars do not couple to (1,5) strings, in the effective theory a coupling is induced by (1,1) and (5,5) strings, leading to Hawking radiation. These considerations imply that, at least for such black holes, the calculation of the Hawking decay rate for minimal scalars has a sound foundation in string theory and statistical mechanics and, hence, there is no information loss.

24 pages, LaTeX, very minor changes, to appear in Nucl. Phys. B

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• Interacting Black Holes
• Phase transitions in symmetric orbifold CFTs and universality
• D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation
• Bound States of Type I D-Strings
• D1/D5 System with B-field, Noncommutative Geometry and the CFT of the Higgs Branch
• Absorption and Hawking Radiation of Minimal and Fixed Scalars, and AdS/CFT correspondence
• 6d-5d-4d reduction of BPS attractors in flat gauged supergravities
• String Junctions and Bound States of Intersecting Branes
• D1/D5 systems in $\mathcal{N}=4$ string theories
• Black hole dynamics from instanton strings
• A review of the D1/D5 system and five dimensional black hole from supergravity and brane viewpoint
• Lectures on the Microscopic Modeling of the 5-dim. Black Hole of IIB String Theory and the $D_1-D_5$ System