On Non Commutative G2 structure
High Energy Physics - Theory
2009-11-10 v2
Abstract
Using an algebraic orbifold method, we present non-commutative aspects of structure of seven dimensional real manifolds. We first develop and solve the non commutativity parameter constraint equations defining 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.
Keywords
Cite
@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}
}
Comments
16 pages, Latex. Typos corrected, minor changes. Version to appear in J. Phys.A: Math.Gen.(2005)