2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/217296A nonlinear SO(8) invariant BF type Lagrangian for describing the dynamics of N M2-branes in flat spacetime has been proposed recently in the literature which is an extension of the non-abelian DBI action of N D2-branes. This action includes only terms with even number of the totally antisymmetric tensor M^{IJK}. We argue that the action should contain terms with odd number of M^{IJL} as well. We modify the action to include them.8 pages, latex file; v4: another simple matrix for s^{IJ} has been found, some comments addedHigh Energy Physics - TheoryOn non-linear action of multiple M2-branestext