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arXiv · hep-th/9707190

Moyal Brackets in M-Theory

David B. Fairlie
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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.

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David B. Fairlie. 1997-08-14. Moyal Brackets in M-Theory. https://doi.org/10.1142/s0217732398000322

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