Noncommutative gauge theory for Poisson manifolds

Details Noncommutative gauge theory for Poisson manifolds Noncommutative gauge theory for Poisson manifolds

2000-04-30

arxiv.org/abs/hep-th/0005005v2

Nucl.Phys.B584:784-794,2000

Physics

High Energy Physics

High Energy Physics - Theory

12 pages

Scientific paper

10.1016/S0550-3213(00)00363-1

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.

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