Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle

Details Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle

2009-04-28

arxiv.org/abs/0904.4409v4

Int.J.Geom.Meth.Mod.Phys.8:411-428,2011

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, two typos corrected

Scientific paper

10.1142/S021988781100521X

It is shown how Seiberg-Witten equations can be obtained by means of Fedosov deformation quantization of endomorphism bundle and the corresponding theory of equivalences of star products. In such setting, Seiberg-Witten map can be iteratively computed for arbitrary gauge group up to any given degree with recursive methods of Fedosov construction. Presented approach can be also considered as a generalization of Seiberg-Witten equations to Fedosov type of noncommutativity.

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