Hopf instantons in Chern-Simons theory

C. Adam, B. Muratori, C. Nash

Published 1999-09-27, updated 2000-01-25Version 2

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.