Hopf instantons in Chern-Simons theory
High Energy Physics - Theory
2009-10-31 v2
Abstract
We study an Abelian Chern-Simons and Fermion system in three dimensions. In the presence of a fixed prescribed background magnetic field we find an infinite number of fully three-dimensional solutions. These solutions are related to Hopf maps and are, therefore, labelled by the Hopf index. Further we discuss the interpretation of the background field.
Keywords
Cite
@article{arxiv.hep-th/9909189,
title = {Hopf instantons in Chern-Simons theory},
author = {C. Adam and B. Muratori and C. Nash},
journal= {arXiv preprint arXiv:hep-th/9909189},
year = {2009}
}
Comments
one minor error corrected, discussion of gauge fixing added, some references added