NB BLG model in N=8 superfields

TL;DR

This paper presents an N=8 superfield formulation of the BLG model using Nambu brackets, incorporating superembedding concepts and super-CS equations to derive the model's dynamics.

Contribution

It introduces a novel superfield description of the BLG model in N=8 supersymmetry using superembedding and super-CS equations.

Findings

Derived the superfield equations for the BLG model.

Connected superembedding equations with volume-preserving diffeomorphisms.

Established the dynamical equations from consistency conditions.

Abstract

We develop the N=8 superfield description of the Bagger-Lambert-Gustavsson (BLG) model in its Nambu bracket (NB) realization. The basic ingredient is the octet of scalar d=3 N=8 superfields depending also on the coordinates of a compact three dimensional space M. It is restricted by the 'superembedding-like' equation, which can be treated as covariantization of the linearized superembedding equation for supermembrane (M2-brane) with respect volume preserving diffeomorphisms SDiff3 of M. The curvatures of SDiff3 connection are expressed through the scalar superfields by the N=8 superfield generalization of the Chern-Simons equation (super-CS equation). We show how the dynamical BLG equations appear when studying consistency of these basic equations.