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arXiv · hep-th/0408011

On Non Commutative G2 structure

A. Belhaj·M. P. Garcia del Moral
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Abstract

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.

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A. Belhaj, M. P. Garcia del Moral. 2005-02-03. On Non Commutative G2 structure. https://doi.org/10.1088/0305-4470%2F38%2F12%2F017

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