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, R) and the Poincar\'e ISO(2,1) groups. For suitable self-interactions, we are able to exhibit soliton solutions.
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