Abstract
We quantize the one-particle model of the SU(2|1) supersymmetric multiparticle mechanics with the additional semi-dynamical spin degrees of freedom. We find the relevant energy spectrum and the full set of physical states as functions of the mass-dimension deformation parameter m and SU(2) spin \( q\in \left({\mathrm{\mathbb{Z}}}_{>0,}1/2+{\mathrm{\mathbb{Z}}}_{\ge 0}\right) \). It is found that the states at the fixed energy level form irreducible multiplets of the supergroup SU(2|1). Also, the hidden superconformal symmetry OSp(4|2) of the model is revealed in the classical and quantum cases. We calculate the OSp(4|2) 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(4|2) multiplet.
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ArXiv ePrint: 1710.02130
On leave of absence from V.N. Karazin Kharkov National University, Ukraine. (Sergey Fedoruk)
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Fedoruk, S., Ivanov, E. & Sidorov, S. Deformed supersymmetric quantum mechanics with spin variables. J. High Energ. Phys. 2018, 132 (2018). https://doi.org/10.1007/JHEP01(2018)132
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DOI: https://doi.org/10.1007/JHEP01(2018)132