ON FAIRLIE'S MOYAL FORMULATION OF M(ATRIX)-THEORY
2001 ◽
Vol 16
(31)
◽
pp. 4969-4984
Starting from the Moyal formulation of M theory in the large N-limit, we propose to reexamine the associated membrane equations of motion in ten dimensions formulated in terms of Poisson bracket. Among the results obtained, we rewrite the coupled first order Nahm equations into a simple form leading in turn to their systematic relation with SU (∞) 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.
1969 ◽
Vol 20
(2)
◽
pp. 178-190
◽
2002 ◽
Vol 17
(08)
◽
pp. 481-489
◽
2020 ◽
Vol 35
(25)
◽
pp. 2050147
2013 ◽
Vol 28
(07)
◽
pp. 1350018
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