Moyal Brackets in M-Theory

David B. Fairlie

doi:10.1142/S0217732398000322

Moyal Brackets in M-Theory

高能物理 - 理论 2009-10-30 v2

作者: David B. Fairlie

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摘要

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.

引用

@article{arxiv.hep-th/9707190,
  title  = {Moyal Brackets in M-Theory},
  author = {David B. Fairlie},
  journal= {arXiv preprint arXiv:hep-th/9707190},
  year   = {2009}
}