Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle
High Energy Physics - Theory
2011-06-28 v4
Abstract
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.
Cite
@article{arxiv.0904.4409,
title = {Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle},
author = {Michal Dobrski},
journal= {arXiv preprint arXiv:0904.4409},
year = {2011}
}
Comments
18 pages, two typos corrected