Landau degeneracy and black hole entropy

Details Landau degeneracy and black hole entropy Landau degeneracy and black hole entropy

1997-12-02

arxiv.org/abs/hep-th/9712026v2

Nucl.Phys. B520 (1998) 205-228

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 1 figure, latex. Minor corrections, version to appear in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(98)00051-0

We consider the supergravity solution describing a configuration of intersecting D-4-branes with non-vanishing worldvolume gauge fields. The entropy of such a black hole is calculated in terms of the D-branes quantised charges. The non-extreme solution is also considered and the corresponding thermodynamical quantities are calculated in terms of a D-brane/anti-D-brane system. To perform the quantum mechanical D-brane analysis we study open-strings with their ends on branes with a magnetic condensate. Applying the results to our D-brane system we managed to have a perfect agreement between the D-brane entropy counting and the corresponding semi-classical result. The Landau degeneracy of the open string states describing the excitations of the D-brane system enters in a crucial way. We also derive the near-extreme results which agree with the semi-classical calculations.

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