The deformed M2-brane

TL;DR

This paper investigates correction terms to M2-brane dynamics using superembedding formalism, identifying the first correction at dimension four and deriving the modified action and symmetries.

Contribution

It introduces a cohomological approach to explicitly determine the first correction to M2-brane dynamics within the superembedding framework.

Findings

First correction occurs at dimension four.

Explicit form of the correction is derived.

Modified k-symmetry transformations are provided.

Abstract

The superembedding formalism is used to study correction terms to the dynamics of the M2 brane in a flat background. This is done by deforming the standard embedding constraint. It is shown rigorously that the first such correction occurs at dimension four. Cohomological techniques are used to determine this correction explicitly. The action is derived to quadratic order in fermions, and the modified $\k$-symmetry transformations are given.