Hopf Solitons from Instanton Holonomy

Details Hopf Solitons from Instanton Holonomy Hopf Solitons from Instanton Holonomy

2001-08-13

arxiv.org/abs/hep-th/0108082v1

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, 3 figures, to be published in Nonlinearity

Scientific paper

10.1088/0951-7715/14/6/307

The holonomy of an SU(2) N-instanton in the x^4-direction gives a map from R^3 into SU(2), which provides a good model of an N-Skyrmion. Combining this map with the standard Hopf map from SU(2)=S^3 to S^2 gives a configuration for a Hopf soliton of charge N. In this way, one may define a collective-coordinate manifold for Hopf solitons. This paper deals with instanton approximations to Hopf solitons in the Skyrme-Faddeev model, focussing in particular on the N=1 and N=2 sectors, and the two-soliton interaction.

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