Stiefel-Skyrme-Higgs models,their classical static solutions and Yang-Mills-Higgs monopoles

A new series of models is introduced by adding Higgs fields to the earlier proposed Euclidean four-dimensional Skyrme-like models with Yang-Mills composite fields constructed from Stiefel manifold-valued fields. The classical static versions of these models are discussed. The connection with the monopole solutions of the Yang-Mills-Higgs models in the Prasad-Sommerfield limit is pointed out and the BPS monopole is reobtained as an example. On leave of absence from the Institute of Nuclear Research and Nuclear Energy, Sofia, Bulgaria.