SKYRME MODELS WITH SELF-DUAL LIMITS - D=2,3

The most general Skyrme-Sigma models in two and three Euclidean dimens ions described by O(3) and O(4) fields, respectively, are studied firs t by numerical methods, and analytic proofs of existence are subsequen tly given. Particular emphasis is given to the special cases of these models, where the topological inequalities can be saturated by self-du ality equations. The O(d+1) models in d dimensions exhibit qualitative ly similar features. (C) 1996 American Institute of Physics.