Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
arXiv:0807.0812 · doi:10.1088/1126-6708/2008/08/076
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
References in corpus (14)
- Comments on the Bagger-Lambert theory and multiple M2-branes
- Membranes on an Orbifold
- Mass-Deformed Bagger-Lambert Theory and its BPS Objects
- One-loop corrections to Bagger-Lambert theory
- Multiple M2-branes and the Embedding Tensor
- Multiple Membranes from Gauged Supergravity
- Aspects of Multiple Membranes
- Janus field theories from multiple M2 branes
- Ternary Virasoro - Witt Algebra
- Coulomb Branch of the Lorentzian Three Algebra Theory
- M-Theory Superalgebra From Multiple Membranes
- Not One Bit of de Sitter Information
- A note on Quantum Aspects of Multiple Membranes
- Metric Lie n-algebras and double extensions