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arXiv · 0807.0812

Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes

Chong-Sun Chu·Pei-Ming Ho·Yutaka Matsuo·Shotaro Shiba
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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.

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Chong-Sun Chu, Pei-Ming Ho, Yutaka Matsuo, Shotaro Shiba. 2008-07-14. Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes. https://doi.org/10.1088/1126-6708%2F2008%2F08%2F076

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