Non-Abelian fields in exact string solutions

Within the framework of ''anomalously gauged'' Wess-Zumino-Witten (WZW) models, we construct solutions which include non-Abelian fields. Both compact and noncompact groups are discussed. In the case of compact groups, as an example of background containing non-Abelian fields, we discuss conformal theory on the SO(4)/SO(3) coset, which is the natural generalization of the 2-D monopole theory corresponding to the SO(3)/SO(2) coset. In noncompact case, we consider examples with SO(2, 1)/SO(1, 1) and SO(3, 2)/SO(3, 1) cosets.