1997/03/27 by Boris V. Karpov, Karpov, Boris V.
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #alg-geom #math.AG
paper · pdf · doi:10.48550/arxiv.alg-geom/9703034
LaTeX v2.09, 14 pages
arxiv created 1997/03/27 · arxiv updated 2009/11/30
In this paper we deal with algebro-geometrical problems connected with testing S-duality conjecture for super-symmetric Yang-Mills quantum field theories in four dimensions. We describe all field configurations such that beta function coefficient for gauge groups of rank 1 and 2 is zero or negative. We also give special series of such field configurations for gauge groups of an arbitrary rank. Realization of one of the series discovers a connection with exceptional bundles. That points again at relation between S-duality and string duality.