Self-Dual Chern-Simons Solitons with Non-Compact Groups
classification
✦ hep-th
keywords
groupsnon-compactablebelongschern--simonschern-simonscoupledetails
read the original 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 $SL(2,{\bf R})$ and the Poincar\'e $ISO(2,1)$ groups. For suitable self-interactions, we are able to exhibit soliton solutions.
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