2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/204184We 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 referencesHigh Energy Physics - Theorytext