The Yang Mills system and cyclic covering of abelian varieties

Details The Yang Mills system and cyclic covering of abelian varieties The Yang Mills system and cyclic covering of abelian varieties

2007-06-24

arxiv.org/abs/0706.3537v1

Physics

Mathematical Physics

13 pages, to be published in International Journal of Pure and Applied Mathematical Sciences

Scientific paper

In this paper, we consider a dynamical system related to the Yang-Mills
system for a field with gauge group SU(2). We solve this system in terms of
genus two hyperelliptic functions and we show that it is algebraic completely
integrable in the generalized sense.

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