Covariant action and equations of motion for the eleven dimensional multiple M0-brane system

TL;DR

This paper develops a covariant, supersymmetric action for multiple M0-branes in eleven dimensions, deriving equations of motion and analyzing conditions for supersymmetric solutions, revealing that only massless configurations preserve half of the supersymmetry.

Contribution

It introduces a covariant, supersymmetric, and kappa-symmetric action for multiple M0-branes and derives their equations of motion in 11D superspace, highlighting conditions for supersymmetric solutions.

Findings

Supersymmetric solutions occur only when the effective mass M=0.

All supersymmetric bosonic solutions preserve half of the 11D supersymmetry.

The center of energy motion is characterized by a nonnegative constant mass M.

Abstract

We study the properties of the covariant supersymmetric and kappa-symmetric action for a system of N nearly coincident M0-branes (mM0 system) in flat eleven dimensional (11D) superspace and obtain supersymmetric equations for this dynamical system. Although a single M0-brane is the massless 11D superparticle, center of energy motion of the mM0 system is characterized by a nonnegative constant mass M constructed from the matrix fields describing the relative motion of mM0 constituents. We show that a bosonic solution of the mM0 equations can be supersymmetric iff this effective mass vanishes, M=0, and that all the supersymmetric bosonic solutions preserve just one half of the 11D supersymmetry.