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Black Hole Entropy in M-Theory

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arxiv hep-th/9711053 v1 pith:HVBCB5RY submitted 1997-11-07 hep-th

Black Hole Entropy in M-Theory

classification hep-th
keywords entropyfivebraneblackchargesm-theoryspacetimesadditional
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Extremal black holes in M-theory compactification on $M\times S^1$ are microscopically represented by fivebranes wrapping $P\times S^1$, where $M$ is a Calabi-Yau threefold and $P$ is a four-cycle in $M$. Additional spacetime charges arise from momentum around the $S^1$ and expectation values for the self-dual three-form field strength in the fivebrane. The microscopic entropy of the fivebrane as a function of all the charges is determined from a two-dimensional $(0,4)$ sigma model whose target space includes the fivebrane moduli space. This entropy is compared to the macroscopic formula. Precise agreement is found for both the tree-level and one-loop expressions.

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