Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes

Details Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes

2008-07-07

arxiv.org/abs/0807.0812v2

JHEP0808:076,2008

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 21 pages; v2. added some references

Scientific paper

10.1088/1126-6708/2008/08/076

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.

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