Extended Supersymmetries and 2 + 1 Dimensional Supersymmetric Chern Simons Theories

21st International Conference on Integrable Systems and Quantum Symmetries

Oikonomou, V.K.^1

Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, 04103 Leipzig, Germany^1

关键词: Chern-Simons theory;    Higgs model;    Quantum system;    Supersymmetric quantum mechanics;    Supersymmetries;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012025/pdf
DOI  :  10.1088/1742-6596/474/1/012025

来源: IOP

【 摘 要 】

We study N = 2 supersymmetric Chern-Simons Higgs models in (2+1)-dimensions. As we will demonstrate, an extended supersymmetric quantum mechanics algebras underlies the fermionic zero modes quantum system and the zero modes corresponding to bosonic fluctuations. These two algebras, in turn, combine to give an N = 4 extended 1-dimensional supersymmetric algebra with central charge