Schwarzschild Black Holes from Matrix Theory

Abstract

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.

9 pages, latex; minor typos corrected

References in corpus (2)

• String Theory and Classical Absorption by Threebranes
• World Volume Approach to Absorption by Non-dilatonic Branes

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