Symplectic connections, noncommutative Yang-Mills theory and supermembranes

Aug, 2001
20 pages
Published in:
  • Nucl.Phys.B 622 (2002) 240-256
e-Print:

Citations per year

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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