The Yang Mills system and cyclic covering of abelian varieties

2007/06/24 by A. Lesfari, Lesfari, A.
Mathematics · Physics and Astronomy · #14H55 #14H70. #14K20 #70H06 #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.DS #math.MP #msc:14H55 #msc:14H70. #msc:14K20 #msc:70H06

paper · pdf · doi:10.48550/arxiv.0706.3537

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

arxiv created 2007/06/24 · arxiv updated 2009/12/01

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.

Related

• Gauge theories, Simple Groups and Integrable Systems
• On SU(2) Yang-Mills Theory and the Maximal Abelian Gauge
• On deformations of Yang-Mills algebras
• Hyperelliptic Prym Varieties and Integrable Systems
• Cubics, Integrable Systems, and Calabi-Yau Threefolds