Hopf instantons in Chern-Simons theory
C. Adam, B. Muratori, C. Nash
TL;DR
This paper explores solutions in an Abelian Chern-Simons and Fermion system in three dimensions, revealing an infinite set of solutions linked to Hopf maps and discussing the background magnetic field's role.
Contribution
It introduces a new class of three-dimensional solutions related to Hopf maps in Chern-Simons theory with fixed background magnetic fields.
Findings
Infinite solutions labeled by Hopf index
Solutions related to Hopf maps in 3D
Discussion on background magnetic field interpretation
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.
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