On the Fairlie's Moyal formulation of M(atrix)- theory

Details On the Fairlie's Moyal formulation of M(atrix)- theory On the Fairlie's Moyal formulation of M(atrix)- theory

2000-07-19

arxiv.org/abs/hep-th/0007155v1

Int.J.Mod.Phys. A16 (2001) 4969-4984

Physics

High Energy Physics

High Energy Physics - Theory

16 pages

Scientific paper

10.1142/S0217751X01002786

Starting from the Moyal formulation of M-theory in the large N-limit, we propose to reexamine the associated membrane equations of motion in 10 dimensions formulated in terms of Poisson bracket. Among the results obtained, we rewrite the coupled first order Nahm's equations into a simple form leading in turn to their systematic relation with $SU(\infty)$ Yang Mills equations of motion. The former are interpreted as the vanishing condition of some conserved currents which we propose. We develop also an algebraic analysis in which an ansatz is considered and find an explicit form for the membrane solution of our problem. Typical solutions known in literature can also emerge as special cases of the proposed solution

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