Moyal Brackets in M-Theory

Abstract

The infinite limit of Matrix Theory in 4 and 10 dimensions is described in terms of Moyal Brackets. In those dimensions there exists a Bogomol'nyi bound to the Euclideanized version of these equations, which guarantees that solutions of the first order equations also solve the second order Matrix Theory equations. A general construction of such solutions in terms of a representation of the target space co-ordinates as non-local spinor bilinears, which are generalisations of the standard Wigner functions on phase space, is given.

10 pages, Latex, no figures. References altered, typos corrected

References in corpus (1)

• Integrable Symplectic Trilinear Interaction Terms for Matrix Membranes

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