Spherically Symmetric Istantons of the Scale Invariant SU(2) Gauged Grassmannian Model in d=4

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, LaTeX

Scientific paper

10.1016/0370-2693(96)00267-5

(Anti)self-dual solutions of the scale invariant SU(2) gauged Grassmanian 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 {\it 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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