Fundamental Interactions, Field Theory and Quantum Structures of Spacetime Seminars

Deformed supersymmetric quantum mechanics with spin variables

by Prof. Evgeny Ivanov

Europe/Warsaw
445 (IFT)

445

IFT

Description

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).

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