MOYAL BRACKETS IN M-THEORY
- 10 February 1998
- journal article
- Published by World Scientific Pub Co Pte Ltd in Modern Physics Letters A
- Vol. 13 (4) , 263-274
- https://doi.org/10.1142/s0217732398000322
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.Keywords
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