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arXiv · hep-th/9206039

Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems

M. Leblanc·G. Lozano·H. Min
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Abstract

We study the nonrelativistic limit of the $N=2$ supersymmetric Chern-Simons matter system. We show that in addition to Galilean invariance the model admits a set of symmetries generated by fermionic charges, which can be interpreted as an {\it extended Galilean supersymmetry }. The system also possesses a hidden conformal invariance and then the full group of symmetries is the {\it extended superconformal Galilean} group. We also show that imposing extended superconformal Galilean symmetry determines the values of the coupling constants in such a way that their values in the bosonic sector agree with the values of Jackiw and Pi for which self-dual equation exist. We finally analyze the second quantized version of the model and the two-particle sector.

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M. Leblanc, G. Lozano, H. Min. 1992-06-09. Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems. https://doi.org/10.1016/0003-4916(92)90350-u

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