Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
Abstract
We study the nonrelativistic limit of the 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.
Keywords
Cite
@article{arxiv.hep-th/9206039,
title = {Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems},
author = {M. Leblanc and G. Lozano and H. Min},
journal= {arXiv preprint arXiv:hep-th/9206039},
year = {2015}
}
Comments
32 double-spaced pages