Abstract

(Anti)self-dual solutions of the scale invariant SO±(4) ∼ SU(2) gauged Grassmannian model are sought. A stronger (anti)selfduality condition for this system is defined, referred to as strong self-duality, and Spherically symmetric solutions of this strong (anti)self-duality equations are found in closed form. It is verified that these are the only solutions of the strong (anti)self-duality equations. The usual (anti)self-duality equations for the axially symmetric fields are derived and seen to be not overdetermined.

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