The flux of noncommutative U(1) instanton through the fuzzy spheres

Details The flux of noncommutative U(1) instanton through the fuzzy spheres The flux of noncommutative U(1) instanton through the fuzzy spheres

2004-12-13

arxiv.org/abs/hep-th/0412126v3

Int.J.Mod.Phys. A21 (2006) 4913-4930

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, new version to appear in Int. Jour. of Mod. Phys. A

Scientific paper

10.1142/S0217751X06031491

From the ADHM construction on noncommutative $R_{\theta}^4$ we investigate different U(1) instanton solutions tied by isometry trasformations. These solutions present a form of vector fields in noncommutative $R_{\theta}^3$ vector space which makes possible the calculus of their fluxes through fuzzy spheres. We establish the noncommutative analog of Gauss theorem from which we show that the flux of the U(1) instantons through fuzzy spheres does not depend on the radius of these spheres and it is invariant under isometry transformations.

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