Superembedding approach to M0-brane and multiple M0-brane system

TL;DR

This paper develops a covariant formulation of the multiple M0-brane system using the superembedding approach, extending the Matrix model equations within a supersymmetric framework in eleven-dimensional supergravity.

Contribution

It introduces a superembedding-based covariant generalization of Matrix model equations for multiple M0-branes in flat superspace.

Findings

Derived covariant equations for multiple M0-branes

Extended superembedding approach to non-Abelian systems

Provided a framework for supersymmetric M0-brane dynamics

Abstract

We study the possibility to describe multiple M0-brane system in the frame of superembedding approach. The simplest framework is provided by the maximally supersymmetric non-Abelian SU(N) Yang-Mills supermultiplet on the d=1 N=16 superspace the embedding of which to the target D=11 supergravity superspace is determined by the so-called superembedding equation, characteristic of the worldline superspace of a single M0-brane. We use it to obtain a covariant generalization of the Matrix model equations describing the multiple M0-system in flat target superspace.