Prof. Evgeny Ivanov

Deformed supersymmetric quantum mechanics with spin variables

A model of the SU(2|1) supersymmetric quantum mechanics with additional semi-dynamical spin degrees of freedom is studid. The energy spectrum and the full set of physical states are found as functions of the deformation parameter m and SU(2) spin q. The states at the fixed energy levels form irreducible multiplets of the supergroup SU(2|1). The hidden superconformal symmetry OSp(4|2) of the model is revealed and shown to play a role of the spectrum-generating algebra. Some further generalizations are sketched. Based on arXiv:1710.02130 [hep-th] (in collaboration with Sergey Fedoruk and Stepan Sidorov).