Self-Dual Chern-Simons Solitons with Non-Compact Groups

Abstract

It is shown how to couple non-relativistic matter with a Chern--Simons gauge field that belongs to a non-compact group. We treat in some details the $SL(2,\mathbf{R})$ and the Poincaré $ISO(2,1)$ groups. For suitable self-interactions, we are able to exhibit soliton solutions.

(15 double-spaced pages)

References in corpus (1)

• Chern-Simons Solitons, Toda Theories and the Chiral Model