A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds

Details A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds A Duality for Yang-Mills Moduli Spaces on Noncommutative Manifolds

2004-10-05

arxiv.org/abs/hep-th/0410038v3

Physics

High Energy Physics

High Energy Physics - Theory

27 pages (Latex 2e)

Scientific paper

Studied are the moduli spaces of Yang-Mills connections on finitely generated projective modules associated with noncommutative flows. It is actually shown that they are homeomorphic to those on the dual modules associated with the dual noncommutative flows. Moreover the result is also affirmative in the case of multiflows. As an important application, computed are the moduli spaces of the instanton bundles over the noncommutative Euclidean 4-space with respect to the canonical action of space translations without using the ADHM-construction.

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