Partial Supersymmetry Breaking and AdS4 Supermembrane

TL;DR

This paper constructs a supermembrane action in AdS4 space by analyzing partial supersymmetry breaking, revealing a connection to conformal invariance and providing a method for similar constructions in other AdSd spaces.

Contribution

It introduces a nonlinear realization framework for partial supersymmetry breaking in AdS4, leading to a supermembrane action with conformal invariance.

Findings

Constructed the N=1 AdS4 supermembrane action.

Demonstrated the flat limit reproduces the D=4 supermembrane.

Showed how to realize conformally invariant actions in AdSd spaces.

Abstract

We consider partial spontaneous breaking of N=1 AdS4 supersymmetry OSp(1|4) down to N=1, d=3 Poincare supersymmetry in the nonlinear realizations framework. We construct the corresponding worldvolume Goldstone superfield action and show that it describes the N=1 AdS4 supermembrane. It enjoys OSp(1|4) supersymmetry realized as a field-dependent modification of N=1, d=3 superconformal symmetry and goes into the superfield action of ordinary N=1, D=4 supermembrane in the flat limit. Its bosonic core is the Maldacena-type conformally invariant action of the AdS4 membrane. We show how to reproduce the latter action within a nonlinear realization of the AdS4 group SO(2,3). The same universal nonlinear realizations techniques can be used to construct conformally-invariant worldvolume actions for (d-2)-branes in generic AdSd spaces.