Supersymmetric soliton solution in a dimensionally reduced Schrödinger-Chern-Simons model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex, 16 pages, references added, minor changes

Scientific paper

10.1103/PhysRevD.83.045016

We obtain by dimensional reduction a $(1+1)$ supersymmetric system introduced
in the description of ultracold quantum gases. The correct supercharges are
identified and their algebra is constructed. Finally we find static self-dual
solutions that satisfy a Liouville type differential equation.

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