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

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

2008-11-18

arxiv.org/abs/0811.2976v2

JHEP 0903:064,2009

Physics

High Energy Physics

High Energy Physics - Theory

14 pages

Scientific paper

10.1088/1126-6708/2009/03/064

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.

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