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Thoughts on Membranes, Matrices and Non-Commutativity

2004/10/11 by Martin Cederwall, Cederwall, Martin
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0410110

11 pp, plain tex. Invited talk presented at the conference ``Non-Commutative Geometry and Representation Theory in Mathematical Physics'', Karlstad, Sweden, July 5-10, 2004

arxiv created 2004/10/11 · openalex publication_date 2004/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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