On matrix models of M5 branes

Abstract

We compare the (0,2) theory of the single M5 brane decoupled from gravity in the lightcone with transverse R 4, and a matrix nmodel description in terms of quatum mechanics on instanton moduli space. We give some tests of the Matrix model in the case of multi-5-branes on R 4. We We extract constraints on the operator content of the field theory of the multi-5-brane system by analyzing the Matrix model. We also begin a study of compactifications of the (0,2) theory in this framework, arguing that, for large compactification scale, the (0,2) theory is described by super-quantum mechanics on appropriate instanton moduli spaces.