Monte Carlo approach to the string/M-theory

Abstract

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.

arXiv comment17 pages, 7 figures. Plenary talk presented at the 30th International Symposium on Lattice Field Theory - Lattice 2012, June 24-29, 2012 Cairns, Australia

References in corpus (6)

• Proposals on nonperturbative superstring interactions
• Phase Structure of Lattice N=4 Super Yang-Mills
• The origin of space-time as seen from matrix model simulations
• Improved lattice actions for supersymmetric quantum mechanics
• Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM
• The gluino-glue particle and relevant scales for the simulations of supersymmetric Yang-Mills theory

Cited by in corpus (3)

• Chaos in Matrix Models and Black Hole Evaporation
• Recent results in large-N lattice gauge theories
• On black hole thermodynamics from super Yang-Mills