Multiple M0-brane system in an arbitrary eleven dimensional supergravity background

TL;DR

This paper derives equations of motion for multiple M0-branes in arbitrary eleven-dimensional supergravity backgrounds, revealing BPS solutions including fuzzy spheres and Nahm equations, thus generalizing Matrix model interactions.

Contribution

It provides the first derivation of multiple M0-brane equations in arbitrary 11D supergravity backgrounds using superembedding, extending Matrix model formulations.

Findings

Derived equations of motion for multiple M0-branes in 11D supergravity.

Identified 1/2 BPS solutions including fuzzy spheres modeling M2 branes.

Showed Nahm equation as a special case of 1/4 BPS equations.

Abstract

The equations of motion of multiple M0{brane (multiple M-wave or mM0) system in an arbitrary D = 11 supergravity superspace, which generalize the Matrix model equations for the case of inter- action with a generic 11D supergravity background, are obtained in the frame of superembedding approach. We also derive the BPS equations for supersymmetric bosonic solutions of these mM0 equations and show that the set of 1/2 BPS solutions contain a fuzzy sphere modeling M2 brane as well as that the Nahm equation appears as a particular case of the 1/4 BPS equations.