Schwarzschild Black Holes from Matrix Theory

Details Schwarzschild Black Holes from Matrix Theory Schwarzschild Black Holes from Matrix Theory

1997-09-12

arxiv.org/abs/hep-th/9709091v2

Phys.Rev.Lett.80:226-229,1998

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, latex; minor typos corrected

Scientific paper

10.1103/PhysRevLett.80.226

We consider Matrix theory compactified on T^3 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.

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