Yang-Mills solutions and dyons on cylinders over coset spaces with Sasakian structure

We present solutions of the Yang-Mills equation on cylinders R x G/H over coset spaces of odd dimension 2m + 1 with Sasakian structure. The gauge potential is assumed to be SU(m)-equivariant, parameterized by two real, scalar-valued functions. Yang-Mills theory with torsion in this setup reduces to the Newtonian mechanics of a point particle moving in R-2 under the influence of an inverted potential. We analyze the critical points of this potential and present an analytic as well as several numerical finite-action solutions. Apart from the Yang-Mills solutions that constitute SU(m)-equivariant instanton configurations, we construct periodic sphaleron solutions on S-1 x G/H and dyon solutions on iR x G/H. (C) 2015 The Author. Published by Elsevier B.V.