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arxiv hep-th/9710217 v2 pith:G5PQY3CV submitted 1997-10-29 hep-th

Gary T. Horowitz , Emil J. Martinec This is my paper · ORCID
classification hep-th
keywords blacktheoryholesmatrixentropystringstransitionacross
verification ladder T0 review T1 audit T2 compute T3 formal
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The recent suggestion that the entropy of Schwarzschild black holes can be computed in matrix theory using near-extremal D-brane thermodynamics is examined. It is found that the regime in which this approach is valid actually describes black strings stretched across the longitudinal direction, near the transition where black strings become unstable to the formation of black holes. It is argued that the appropriate dynamics on the other (black hole) side of the transition is that of the zero modes of the corresponding super Yang-Mills theory. A suggestive mean field theory argument is given for the entropy of black holes in all dimensions. Consequences of the analysis for matrix theory and the holographic principle are discussed.

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