Torons and black hole entropy

Details Torons and black hole entropy Torons and black hole entropy

1997-12-16

arxiv.org/abs/hep-th/9712160v4

Nucl.Phys.B524:333-357,1998

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/S0550-3213(98)00193-X

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.

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