Noncommutative gauge theory for Poisson manifolds
May, 2000Citations per year
Abstract:
A noncommutative gauge theory is associated to every Abelian gauge theory on a Poisson manifold. The semi-classical and full quantum version of the map from the ordinary gauge theory to the noncommutative gauge theory (Seiberg-Witten map) is given explicitly to all orders for any Poisson manifold in the Abelian case. In the quantum case the construction is based on Kontsevich's formality theorem.- 11.15.-q
- 04.60.Ds
- 11.25
- gauge field theory: U(1)
- gauge field theory: Yang-Mills
- differential geometry: noncommutative
- geometry: algebra
- Seiberg-Witten model
- quantization: deformation
- differential forms
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