Extended superconformal Galilean symmetry in Chern-Simons matter systems

DOI10.1016/0003-4916(92)90350-UzbMATH Open0767.53058arXivhep-th/9206039OpenAlexW2001412394MaRDI QIDQ1802807

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Publication date: 29 June 1993

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/9206039

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