On Non Commutative G2 structure

A. Belhaj; M. P. Garcia del Moral

doi:10.1088/0305-4470/38/12/017

On Non Commutative G2 structure

高能物理 - 理论 2009-11-10 v2

作者: A. Belhaj , M. P. Garcia del Moral

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摘要

Using an algebraic orbifold method, we present non-commutative aspects of $G_2$ structure of seven dimensional real manifolds. We first develop and solve the non commutativity parameter constraint equations defining $G_2$ manifold algebras. We show that there are eight possible solutions for this extended structure, one of which corresponds to the commutative case. Then we obtain a matrix representation solving such algebras using combinatorial arguments. An application to matrix model of M-theory is discussed.

关键词

lie algebras and representations noncommutative field theory positive maps in quantum information

引用

@article{arxiv.hep-th/0408011,
  title  = {On Non Commutative G2 structure},
  author = {A. Belhaj and M. P. Garcia del Moral},
  journal= {arXiv preprint arXiv:hep-th/0408011},
  year   = {2009}
}

备注

16 pages, Latex. Typos corrected, minor changes. Version to appear in J. Phys.A: Math.Gen.(2005)

On Non Commutative G2 structure

摘要

关键词

引用

备注

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