Symplectic connections, Noncommutative Yang Mills theory and Supermembranes

Details Symplectic connections, Noncommutative Yang Mills theory and Supermembranes Symplectic connections, Noncommutative Yang Mills theory and Supermembranes

2001-08-08

arxiv.org/abs/hep-th/0108046v1

Nucl.Phys. B622 (2002) 240-256

Physics

High Energy Physics

High Energy Physics - Theory

18 pages

Scientific paper

10.1016/S0550-3213(01)00566-1

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.

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