Algebraic structures on parallel M2-branes

TL;DR

This paper explores the algebraic structures underlying the low energy theory on parallel M2-branes, incorporating topological gauge fields to close supersymmetry transformations.

Contribution

It proposes a specific algebraic framework for the low energy dynamics of parallel M2-branes, extending previous supersymmetry closure methods.

Findings

Identifies a new algebraic structure consistent with supersymmetry closure.

Incorporates topological gauge fields into the M2-brane theory.

Provides a foundation for understanding M2-brane interactions.

Abstract

In the course of closing supersymmetry on parallel M2 branes up to a gauge transformation, following the suggestion in hep-th/0611108 of incorporating a gauge field which only has topological degrees of freedom, we are led to assume a certain algebraic structure for the low energy theory supposedly living on parallel M2 branes.