Thoughts on Membranes, Matrices and Non-Commutativity

Details Thoughts on Membranes, Matrices and Non-Commutativity Thoughts on Membranes, Matrices and Non-Commutativity

2004-10-11

arxiv.org/abs/hep-th/0410110v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pp, plain tex. Invited talk presented at the conference ``Non-Commutative Geometry and Representation Theory in Mathematica

Scientific paper

We review the passage from the supermembrane to matrix theory via a
consistent truncation following a non-commutative deformation in light-cone
gauge. Some indications are given that there should exist a generalisation of
non-commutativity involving a three-index theta on the membrane, and we discuss
some possible ways of investigating the corresponding algebraic structure.

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