Hidden Supersymmetries of Deformed Supersymmetric Mechanics

Abstract

We consider quantum models corresponding to superymmetrizations of the two-dimensional harmonic oscillator based on worldline $d=1$ realizations of the supergroup SU$(\mathcal{N}/2|1)$, where the number of supersymmetries $\mathcal{N}$ is arbitrary even number. Constructed models possess the hidden supersymmetry SU$(\mathcal{N}/2|2)$. Degeneracies of energy levels are spanned by representations of the hidden supersymmetry group.

10 pages, 3 figures. To appear in the Proceedings of the International Conference on Integrable Systems and Quantum Symmetries (ISQS26), 8-12 July 2019, Prague

Cited by in corpus (2)

• Integrability of supersymmetric Calogero-Moser models
• Weak supersymmetric $su(N|1)$ quantum systems