Putting M theory on a computer

Details Putting M theory on a computer Putting M theory on a computer

2008-01-28

arxiv.org/abs/0801.4205v1

PoSLAT2007:059,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, talk presented at the XXV International Symposium on Lattice Field Theory, July 30 - August 4 2007, Regens

Scientific paper

We propose a non-lattice simulation for studying supersymmetric matrix quantum mechanics in a non-perturbative manner. In particular, our method enables us to put M theory on a computer based on its matrix formulation proposed by Banks, Fischler, Shenker and Susskind. Here we present Monte Carlo results of the same matrix model but in a different parameter region, which corresponds to the 't Hooft large-N limit at finite temperature. In the strong coupling limit the model has a dual description in terms of the N D0-brane solution in 10d type IIA supergravity. Our results provide highly nontrivial evidences for the conjectured duality. In particular, the energy (and hence the entropy) of the non-extremal black hole has been reproduced by solving directly the strongly coupled dynamics of the D0-brane effective theory.

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