Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes
High Energy Physics - Theory
2008-11-26 v2
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.
Cite
@article{arxiv.0807.0812,
title = {Truncated Nambu-Poisson Bracket and Entropy Formula for Multiple Membranes},
author = {Chong-Sun Chu and Pei-Ming Ho and Yutaka Matsuo and Shotaro Shiba},
journal= {arXiv preprint arXiv:0807.0812},
year = {2008}
}
Comments
LaTeX, 21 pages; v2. added some references