Hopf instantons and the Liouville equation in target space

Abstract

We generalise recent results on Hopf instantons in a Chern--Simons and Fermion theory in a fixed background magnetic field. We find that these instanton solutions have to obey the Liouville equation in target space. As a consequence, these solutions are given by a class of Hopf maps that consist of the composition of the standard Hopf map with an arbitrary rational map.

Latex file, 11 pages, no figures

References in corpus (1)

• Exact static soliton solutions of 3+1 dimensional integrable theory with nonzero Hopf numbers

Cited by in corpus (7)

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