Dimensionally Reduced Chern-Simons Terms and their Solitons

Abstract

We consider models in which nonrelativistic matter fields interact with gauge fields whose dynamics are governed by the Chern-Simons term. The relevant equations of motion are derived and reduced dimensionally in time or in space. Interesting solitonic equations emerge and their solutions are described. Finally, we consider a Chern-Simons term in three-dimensional Euclidean space, reduced by spherical symmetry, and we discuss its effect on monopole and instanton solutions.

Email correspondence to jackiw@mitlns.mit.edu ; 9 pages, AMS-LaTeX