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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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(15 double-spaced pages)

Scientific paper

10.1088/0305-4470/26/12/030

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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