Moyal Brackets in M-Theory
High Energy Physics - Theory
2009-10-30 v2
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.
Cite
@article{arxiv.hep-th/9707190,
title = {Moyal Brackets in M-Theory},
author = {David B. Fairlie},
journal= {arXiv preprint arXiv:hep-th/9707190},
year = {2009}
}
Comments
10 pages, Latex, no figures. References altered, typos corrected