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

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.

14 pages

References in corpus (39)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Algebraic structures on parallel M2-branes
• Modeling Multiple M2's
• Comments on Multiple M2-branes
• M2 to D2
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• M2-branes, 3-Lie Algebras and Plucker relations
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• N = 8 Superconformal Chern--Simons Theories
• One-loop corrections to Bagger-Lambert theory
• Bagger-Lambert Theory for General Lie Algebras
• M-theory branes and their interactions
• Ghost-Free Superconformal Action for Multiple M2-Branes
• N=8 superconformal gauge theories and M2 branes
• D2 to D2
• Membranes on Calibrations
• A New N=4 Membrane Action via Orbifold
• Aspects of Multiple Membranes
• Janus field theories from multiple M2 branes
• Taking off the square root of Nambu-Goto action and obtaining Filippov-Lie algebra gauge theory action
• Matrix Theory of Type IIB Plane Wave from Membranes
• Coulomb Branch of the Lorentzian Three Algebra Theory
• A note on the M2-M5 brane system and fuzzy spheres
• Topological branes, p-algebras and generalized Nahm equations
• M-Theory Superalgebra From Multiple Membranes
• Not One Bit of de Sitter Information
• On relating multiple M2 and D2-branes
• Non-linear theory for multiple M2 branes
• From Simplified BLG Action to the First-Quantized M-Theory
• Relaxed Three-Algebras: Their Matrix Representations and Implications for Multi M2-brane Theory
• Topological Twisting of Multiple M2-brane Theory
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• M2-branes Coupled to Antisymmetric Fluxes
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• Higher-derivative 3-algebras
• On non-linear action of multiple M2-branes

Cited by in corpus (5)

• Finite field-dependent BRST symmetry for ABJM theory in $\mathcal{N}=1$ superspace
• Three-algebra for supermembrane and two-algebra for superstring
• Anti-FFBRST Transformations for the BLG Theory in Presence of a Boundary
• Generalized BIons in M-theory
• Janus Field Theories from Non-Linear BF Theories for Multiple M2-Branes