MOYAL BRACKETS IN M-THEORY

Author:

FAIRLIE DAVID B.1

Affiliation:

1. Yukawa Institute for Theoretical Physics, Kyoto 606-01, Japan

Abstract

The infinite limit of matrix theory in four 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 coordinates as nonlocal spinor bilinears, which are generalisations of the standard Wigner functions on phase space, is given.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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