Hopf instantons and the Liouville equation in target space
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/0001163,
title = {Hopf instantons and the Liouville equation in target space},
author = {C. Adam and B. Muratori and C. Nash},
journal= {arXiv preprint arXiv:hep-th/0001163},
year = {2009}
}
Comments
Latex file, 11 pages, no figures