The singleton action action from the supermembrane

TL;DR

This paper derives the free singleton action for the supermembrane by analyzing its boundary behavior in an AdS_4 background, using Lie algebra parametrization, and discusses singleton actions in related membrane backgrounds.

Contribution

It introduces a method to derive the supermembrane singleton action via solvable Lie algebra parametrization in AdS_4 backgrounds, extending understanding of membrane boundary dynamics.

Findings

Derived the supermembrane singleton action from M2-brane boundary conditions.

Used solvable Lie algebra parametrization for coset space analysis.

Commented on singleton actions in various AdS_4 backgrounds.

Abstract

We derive the free Osp(8|4) singleton action by sending the M2brane to the Minkowski boundary of an AdS_4x{\cal M}_7 background. We do this by means of the solvable Lie algebra parametrization of the coset space. We also give some comments on singleton actions from membranes on AdS_4xG/H backgrounds.