Hopf instantons and the Liouville equation in target space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex file, 11 pages, no figures

Scientific paper

10.1016/S0370-2693(00)00320-8

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.

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