On non-linear action of multiple M2-branes

TL;DR

This paper discusses a modified nonlinear Lagrangian for multiple M2-branes, extending previous models by including terms with odd numbers of the antisymmetric tensor to better describe their dynamics.

Contribution

The authors propose an extension of the existing M2-brane Lagrangian to incorporate odd-numbered tensor terms, enhancing the theoretical description of M2-brane interactions.

Findings

Modified the Lagrangian to include odd tensor terms

Ensured SO(8) invariance in the extended action

Provided a more complete nonlinear description of M2-branes

Abstract

A nonlinear SO(8) invariant BF type Lagrangian for describing the dynamics of N M2-branes in flat spacetime has been proposed recently in the literature which is an extension of the non-abelian DBI action of N D2-branes. This action includes only terms with even number of the totally antisymmetric tensor M^{IJK}. We argue that the action should contain terms with odd number of M^{IJL} as well. We modify the action to include them.