Schwarzschild Black Holes from Matrix Theory
نویسندگان
چکیده
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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