Unitary matrix model for toroidal compactifications of M theory

Abstract

A unitary matrix model is proposed as the large-N matrix formulation of M theory on flat space with toroidal topology. The model reproduces the motion of elementary D-particles on the compact space, and admits membrane states with nonzero wrapping around nontrivial 2-tori even at finite N.

8 pages, phyzzx. Version to appear in Phys. Lett. B; contains an additional discussion on the motivation for the model and extra references

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• The Matrix model and the non-commutative geometry of the supermembrane
• Perturbation of multi-critical unitary matrix models, double scaling limits, and Argyres-Douglas theories
• Probability distribution over some phenomenological models in the matrix model compactified on a torus