Symplectic connections, noncommutative Yang-Mills theory and supermembranes
Aug, 2001
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Abstract:
In built noncommutativity of supermembranes with central charges in eleven dimensions is disclosed. This result is used to construct an action for a noncommutative supermembrane where interesting topological terms appear. In order to do so, we first set up a global formulation for noncommutative Yang Mills theory over general symplectic manifolds. We make the above constructions following a pure geometrical procedure using the concept of connections over Weyl algebra bundles on symplectic manifolds. The relation between noncommutative and ordinary supermembrane actions is discussed.Note:
- 18 pages
- 11.25.-w
- 11.25.H
- 11.25.M
- membrane model
- supersymmetry
- dimension: 11
- central charge
- gauge field theory: Yang-Mills
- field theory: noncommutative
- algebra: Weyl
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