Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle

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.

18 pages, two typos corrected

References in corpus (4)

• The Noncommutative Standard Model at O(theta^2)
• Seiberg--Witten Maps to All Orders
• Remarks on the 2nd order Seiberg-Witten maps
• Local differential calculus over Fedosov algebra

Cited by in corpus (3)

• On some models of geometric noncommutative general relativity
• Background independent noncommutative gravity from Fedosov quantization of endomorphism bundle
• Remarks on generalized Fedosov algebras