Noncommutative gauge theory for Poisson manifolds

Preprint

12 May 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.hep-th/0005005

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.

Keywords

NONCOMMUTATIVE GAUGE THEORY
THEORY FOR POISSON
POISSON MANIFOLD
ABELIAN

All Related Versions

Version 1, 2000-04-30, ArXiv
Version 2, 2000-05-12, ArXiv
Published version: Nuclear Physics B, 584 (3), 784.

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