M-Theory Superalgebra From Multiple Membranes

Abstract

We investigate space-time supersymmetry of the model of multiple M2-branes proposed by Bagger-Lambert and Gustavsson. When there is a central element in Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in the central element. Together with the original worldvolume supersymmetry transformation, we construct major part of the eleven dimensional space-time super-Poincaré algebra with central extensions. Implications to transverse five-branes in the matrix model for M-theory are also discussed.

v1 1+17 pages; v2 refs added

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Cited by in corpus (27)

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• On M5-branes in N=6 Membrane Action
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• Topological branes, p-algebras and generalized Nahm equations
• Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
• $w_{\infty }$ 3-algebra
• Towards Holographic Gravity Dual of N=1Superconformal Chern-Simons Gauge Theory
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory
• A No-Go Theorem for M5-brane Theory
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• M5-brane Solution in ABJM Theory and Three-algebra
• N=6 Membrane Worldvolume Superalgebra
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• M5 brane on $R^{1,2}\times S^3$
• Non-Linearly Extended Self-Dual Relations From The Nambu-Bracket Description Of M5-Brane In A Constant C-Field Background
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Supersymmetric reduced models with a symmetry based on Filippov algebra
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Worldvolume Superalgebra Of BLG Theory With Nambu-Poisson Structure
• Superconformal Quantum Mechanics from M2-branes
• Nambu-Poisson Bracket and M-Theory Branes Coupled to Antisymmetric Fluxes
• (p+1)-Algebra for Super p-Brane: the Nambu Bracket Reformulation
• Membrane scattering from Bagger-Lambert theory