Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes

TL;DR

This paper explores how antisymmetric fluxes in 11D backgrounds couple to M2 branes and their transition to M5 branes using BLG theory and Nambu-Poisson brackets, confirming expected flux-brane interactions.

Contribution

It demonstrates the coupling of background fluxes to M5 branes via a Nambu-Poisson bracket approach based on a recent prescription from multiple M2 branes in BLG theory.

Findings

Fluxes couple to M5 branes at weak coupling.

The proposed action maintains gauge invariance.

The approach aligns with expected flux-brane interactions.

Abstract

By using the recently proposed prescription arXiv:0804.3629 for obtaining the $M5$ brane action from multiple $M2$ branes action in BLG theory, we examine such transition when 11 Dimensional background antisymmetric fluxes couple to the $M2$ brane world volume. Such couplings was suggested in arXiv:0805.3427 where it was used the fact that various fields in BLG theory are valued in a Lie 3-algebra. We argue that this action and promoting it by Nambu-Poisson bracket gives the expected coupling of fluxes with $M5$ brane at least at weak coupling limit. We also study some other aspects of the action for example, the gauge invariance of the theory.