Towards the M(atrix) model action in an arbitrary 11D supergravity background. Progress report

TL;DR

This paper explores the development of an action principle for multiple M0-branes in arbitrary 11D supergravity backgrounds, proposing a new hierarchical approach to overcome existing theoretical challenges.

Contribution

It introduces the concept of a hierarchical action principle to address difficulties in deriving the action from equations of motion for multiple M0-branes.

Findings

Identification of obstacles in deriving the action from equations of motion.

Proposal of the hierarchical action principle as a potential solution.

Progress towards formulating the M(atrix) model action in complex backgrounds.

Abstract

We are searching for the action principle for multiple M0-brane (multiple M-wave or mM0) system starting from the mM0 equations of motion obtained in the frame of superembedding approach. Surprisingly, the way from these equations to the action happens to be hampered by a problem which suggests a possible generalization of the action principle which we call "hierarchical action principle".