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Black Hole Entropy in M-Theory

Juan Maldacena·Andrew Strominger·Edward Witten
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Abstract

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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Juan Maldacena, Andrew Strominger, Edward Witten. 1997-11-07. Black Hole Entropy in M-Theory. https://doi.org/10.1088/1126-6708%2F1997%2F12%2F002

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