Torons and black hole entropy

Abstract

We consider a supersymmetric system of D-5-branes compactified on a 5-torus with a self-dual background field strength on a 4-torus and carrying left-moving momentum along a circle. The corresponding supergravity solution describes a 5-dimensional black hole with a regular horizon. The entropy of this black hole may be explained in terms of the Landau degeneracy for open strings stretching between different branes. In the gauge theory approximation this D-5-brane system is described by a super Yang-Mills theory with a t'Hooft twist. By choosing a supersymmetric branch of the theory we obtain perfect agreement with the entropy formula. The result relies on the number of massless torons associated with the gauge field components that obey twisted boundary conditions.

31 pages, latex. Some equations corrected. Final version to be published in Nuclear Physics B

References in corpus (7)

• On non-abelian generalisation of Born-Infeld action in string theory
• Fluctuation Spectra of Tilted and Intersecting D-branes from the Born-Infeld Action
• Branes at Angles and Black Holes
• Torons and D-Brane Bound States
• New angles on D-branes
• Instantons at Angles
• Realization of D4-Branes at Angles in Super Yang-Mills Theory

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• Constant field strengths on T^{2n}
• Higher Dimensional Recombination of Intersecting D-branes
• Near-horizon microstates of the D1-D5-P black hole
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• Tachyon condensation and `bounce' in the D1-D5 system
• BPS Bound States of D6-branes and Lower Dimensional D-branes
• Absorption on horizon-wrapped branes
• Non-Extreme Black Holes from D-branes at Angles