Entropy Count for Extremal Three-Dimensional Black Strings

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, latex, 1 .ps figure, a comment and some references added, as accepted for publication in Phys. Lett. B

Scientific paper

10.1016/S0370-2693(98)00668-6

We compute the entropy of extremal black strings in three dimensions, using Strominger's approach to relate the Anti-de-Sitter near-horizon geometry and the conformal field theory at the asymptotic infinity of this geometry. The result is identical to the geometric Bekenstein-Hawking entropy. We further discuss an embedding of three-dimensional black strings in $N=1 D=10$ supergravity and demonstrate that the extremal strings preserve 1/4 of supersymmetries.

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