The Yang Mills system and cyclic covering of abelian varieties

Abstract

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.

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

Cited by in corpus (1)

• Affine parts of abelian surfaces as complete intersection of three quartics