Moyal Brackets in M-Theory

Details Moyal Brackets in M-Theory Moyal Brackets in M-Theory

1997-07-23

arxiv.org/abs/hep-th/9707190v2

Mod.Phys.Lett. A13 (1998) 263-274

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1142/S0217732398000322

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.

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