Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes

Abstract

We show that there exists a cut-off version of Nambu-Poisson bracket which defines a finite dimensional Lie 3-algebra. The algebra still satisfies the fundamental identity and thus produces N=8 supersymmetric BLG type equation of motion for multiple M2 branes. By counting the number of the moduli and the degree of freedom, we derive an entropy formula which scales as N^{3/2} as expected for the multiple M2 branes.

LaTeX, 21 pages; v2. added some references

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Cited by in corpus (30)

• The fuzzy S^2 structure of M2-M5 systems in ABJM membrane theories
• Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
• From N M2's to N D2's
• Lorentzian Lie (3-)algebra and toroidal compactification of M/string theory
• Topological branes, p-algebras and generalized Nahm equations
• Quantized Nambu-Poisson Manifolds and n-Lie Algebras
• SDiff Gauge Theory and the M2 Condensate
• Classical and Quantal Ternary Algebras
• Hydrodynamics of N=6 Superconformal Chern-Simons Theories at Strong Coupling
• Generalized Conformal Symmetry and Recovery of SO(8) in Multiple M2 and D2 Branes
• Dp-branes, NS5-branes and U-duality from nonabelian (2,0) theory with Lie 3-algebra
• A Concise Review on M5-brane in Large C-Field Background
• A No-Go Theorem for M5-brane Theory
• D2 to M2 Procedure for D2-Brane DBI Effective Action
• An associative star-three-product and applications to M two/M five-brane theory
• Nambu-Lie 3-Algebras on Fuzzy 3-Manifolds
• 5d and 6d SCFTs Have No Weak Coupling Limit
• Bagger-Lambert theory on an orbifold and its relation to Chern-Simons-matter theories
• Aspects of U-duality in BLG models with Lorentzian metric 3-algebras
• Abelian Vortex in Bagger-Lambert-Gustavsson Theory
• Squashing Gravity Dual of N=6 Superconformal Chern-Simons Gauge Theory
• On thermodynamics of N=6 superconformal Chern-Simons theories at strong coupling
• Interference and Oscillation in Nambu Quantum Mechanics
• Gauge Fields, Membranes and Subdeterminant Vector Models
• Open M2-branes with Flux and Modified Basu-Harvey Equation
• Branes from a non-Abelian (2,0) tensor multiplet with 3-algebra
• Cartan-Weyl 3-algebras and the BLG Theory II: Strong-Semisimplicity and Generalized Cartan-Weyl 3-algebras
• Quantum corrections of (fuzzy) spacetimes from a supersymmetric reduced model with Filippov 3-algebra
• On the Structure Constants of Volume Preserving Diffeomorphism Algebra
• M2- and M5-branes in E11 Current Algebra Formulation of M-theory