Deformed supersymmetric quantum mechanics with spin variables
Abstract
We quantize the oneparticle model of the SU(21) supersymmetric multiparticle mechanics with the additional semidynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as functions of the massdimension deformation parameter m and SU(2) spin q\in (Z_{>0,}1/2+Z_{≥0}) . It is found that the states at the fixed energy level form irreducible multiplets of the supergroup SU(21). Also, the hidden superconformal symmetry OSp(42) of the model is revealed in the classical and quantum cases. We calculate the OSp(42) Casimir operators and demonstrate that the full set of the physical states belonging to different energy levels at fixed q are unified into an irreducible OSp(42) multiplet.
 Publication:

Journal of High Energy Physics
 Pub Date:
 January 2018
 DOI:
 10.1007/JHEP01(2018)132
 arXiv:
 arXiv:1710.02130
 Bibcode:
 2018JHEP...01..132F
 Keywords:

 Conformal and W Symmetry;
 Extended Supersymmetry;
 Superspaces;
 Supersymmetric Gauge Theory;
 High Energy Physics  Theory
 EPrint:
 19 pages, 2 figures