On the connections between Skyrme and Yang Mills theories

Abstract

Skyrme theories on S^3 and S^2, are analyzed using the generalized zero curvature in any dimensions. In the first case, new symmetries and integrable sectors, including the B =1 skyrmions, are unraveled. In S^2 the relation to QCD suggested by Faddeev is discussed

Talk at the Workshop on integrable theories, solitons and duality. IFT Sao Paulo July 2002