Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states

Details Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states

1995-06-30

arxiv.org/abs/hep-th/9506200v2

Nucl.Phys. B456 (1995) 732-752

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX. Version to appear in Nucl. Phys. B. (minor changes: typos fixed and eq.(4.16) corrected)

Scientific paper

10.1016/0550-3213(95)00537-2

Following the work of Sen, we consider the correspondence between extremal black holes and string states in the context of the entropy. We obtain and study properties of electrically charged black hole backgrounds of tree level heterotic string theory compactified on a $p$ dimensional torus, for $D=(10-p)=4 \ldots 9$. We study in particular a one--parameter extremal class of these black holes, the members of which are shown to be supersymmetric. We find that the entropy of such an extremal black hole, when calculated at the stringy stretched horizon, scales in such a way that it can be identified with the entropy of the elementary string state with the corresponding quantum numbers.

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