N=6 Membrane Worldvolume Superalgebra

Abstract

In arXiv:0806.0363 the worldvolume superalgebra of the $\mathcal{N}=8$ Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the $\mathcal{N}=6$ Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we find the central charge corresponding to the energy bound of the BPS fuzzy-funnel configuration of the ABJM theory. We also derive general expressions for the BPS equations of the $\mathcal{N}=6$ Bagger-Lambert theory.

24 pages; references added

References in corpus (43)

• 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
• Superconformal Chern-Simons Theories and AdS_4/CFT_3 Correspondence
• N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
• Three-Algebras and N=6 Chern-Simons Gauge Theories
• Comments on the Bagger-Lambert theory and multiple M2-branes
• The M2-M5 Brane System and a Generalized Nahm's Equation
• N=4 Superconformal Chern-Simons Theories with Hyper and Twisted Hyper Multiplets
• M2 to D2
• Membranes on an Orbifold
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• M2-branes, 3-Lie Algebras and Plucker relations
• Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry
• A Massive Study of M2-brane Proposals
• On M5-branes in N=6 Membrane Action
• Supersymmetric Yang-Mills Theory From Lorentzian Three-Algebras
• M2-branes on M-folds
• Bagger-Lambert Theory for General Lie Algebras
• M-theory branes and their interactions
• Ghost-Free Superconformal Action for Multiple M2-Branes
• D2 to D2
• N=8 superconformal gauge theories and M2 branes
• Membranes on Calibrations
• Aspects of Multiple Membranes
• Classification of the BPS states in Bagger-Lambert Theory
• Coulomb Branch of the Lorentzian Three Algebra Theory
• Kac-Moody Extensions of 3-Algebras and M2-branes
• M2-M5 Systems in N=6 Chern-Simons Theory
• Topological branes, p-algebras and generalized Nahm equations
• M-Theory Superalgebra From Multiple Membranes
• Prolongations of Lie algebras and applications
• Not One Bit of de Sitter Information
• Five-brane Calibrations and Fuzzy Funnels
• Non-linear theory for multiple M2 branes
• Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• Higher-derivative 3-algebras
• M2-Brane Superalgebra from Bagger-Lambert Theory
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory

Cited by in corpus (11)

• n-ary algebras: a review with applications
• Membranes with a boundary
• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Boundary Conditions for Interacting Membranes
• Vortex-type Half-BPS Solitons in ABJM Theory
• M5-brane Solution in ABJM Theory and Three-algebra
• On Non-linear Action for Gauged M2-brane
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Scrutinizing new physics of $B_d\to \varphi ({\eta }^{{(}^{\prime })},\pi ,\omega )$ decay modes
• 3-Leibniz bialgebra in $N=6$ Chern-Simons gauge theories, multiple M2 to D2 branes and vice versa
• Higher Order BLG Supersymmetry Transformations from 10-Dimensional Super Yang Mills