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Monte Carlo approach to the string/M-theory

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arxiv 1212.2814 v1 pith:OLOSOHI6 submitted 2012-12-12 hep-lat hep-th

Monte Carlo approach to the string/M-theory

classification hep-lat hep-th
keywords stringm-theorylatticetheoriesbeendifficultexplaingeneral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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It has long been conjectured that certain supersymmetric Yang-Mills (SYM) theories provide us with nonperturbative formulations of the string/M-theory. Although the supersymmetry (SUSY) on lattice is notoriously difficult in general, for a class of theories important for the string/M-theory various lattice and non-lattice methods, which enable us to study them on computers, have been proposed by now. In this talk, firstly I explain how SYM and string/M-theory are related. Then I explain why the lattice SUSY is difficult in general, and how the difficulties are solved in theories related to string/M-theory. Then I review the status of the simulations. It is explained that some stringy effects are correctly incorporated in SYM. Furthermore, concrete values can be obtained from the SYM side, even when a direct calculation on the string theory side is impossible by the state-of-the-art techniques. We also comment on other recent developments, including the membrane mini-revolution in 2008 and simulation of the matrix model formulation of the string theory.

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