Schwarzschild Black Holes from Matrix Theory

A. Banks, W. Fischler, I. R. Klebanov, L. Susskind

Research output: Contribution to journalArticlepeer-review

89 Scopus citations


We consider Matrix theory compactified on T3 and show that it correctly describes the properties of Schwarzschild black holes in 7+1 dimensions, including the energy-entropy relation, the Hawking temperature and the physical size, up to numerical factors of order unity. The most economical description involves setting the cut-off N in the discretized light-cone quantization to be of order the black hole entropy. A crucial ingredient necessary for our work is the recently proposed equation of state for 3+1 dimensional SYM theory with 16 supercharges. We give detailed arguments for the range of validity of this equation following the methods of Horowitz and Polchinski.

Original languageEnglish (US)
Pages (from-to)226-229
Number of pages4
JournalPhysical review letters
Issue number2
StatePublished - 1998

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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