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On 1+1 Dimensional Galilean Supersymmetry in Ultracold Quantum Gases

G. S. Lozano, O. Piguet, F. A. Schaposnik, L. Sourrouille

cond-mat.otherarXiv:cond-mat/0609553

Abstract

We discuss a 1+1 dimensional Galilean invariant model recently introduced in connection with ultracold quantum gases. After showing its relation to a nonrelativistic 2+1 Chern-Simons matter system, we identify the generators of the supersymmetry and its relation with the existence of self-dual equations

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