Perturbative dynamics of matrix string for the membrane

TL;DR

This paper demonstrates how matrix string theory can be derived from wrapped membranes using M(atrix) theory techniques, and constructs super-Poincaré generators that satisfy the algebra without anomalies.

Contribution

It provides a perturbative derivation of matrix string theory from membrane regularization and explicitly constructs super-Poincaré generators.

Findings

Super-Poincaré generators satisfy 10D algebra without anomalies

The membrane to matrix string correspondence is established via standard techniques

Perturbative construction confirms consistency of the theory

Abstract

Recently Sekino and Yoneya proposed a way to regularize the world volume theory of membranes wrapped around $S^1$ by matrices and showed that one obtains matrix string theory as a regularization of such a theory. We show that this correspondence between matrix string theory and wrapped membranes can be obtained by using the usual M(atrix) theory techniques. Using this correspondence, we construct the super-Poincare generators of matrix string theory at the leading order in the perturbation theory. It is shown that these generators satisfy 10 dimensional super-Poincar\'e algebra without any anomaly.