Torons and black hole entropy
نویسندگان
چکیده
We consider a supersymmetric system of D-5-branes compactified on T 4×S1 with a self-dual background field strength on T 4 and carrying leftmoving momentum along S1. 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. PACS: 04.70.Dy, 11.25.-w
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