Hopf instantons in Chern-Simons theory

Details Hopf instantons in Chern-Simons theory Hopf instantons in Chern-Simons theory

1999-09-27

arxiv.org/abs/hep-th/9909189v2

Phys.Rev. D61 (2000) 105018

Physics

High Energy Physics

High Energy Physics - Theory

one minor error corrected, discussion of gauge fixing added, some references added

Scientific paper

10.1103/PhysRevD.61.105018

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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