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Putting M theory on a computer

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arxiv 0801.4205 v1 pith:NBTKYDG4 submitted 2008-01-28 hep-lat hep-th

Putting M theory on a computer

classification hep-lat hep-th
keywords matrixtheorycomputerd0-branelimitmodelparticularresults
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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