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arxiv: 1910.00198 · v1 · pith:ZN3SGBR3new · submitted 2019-10-01 · ✦ hep-th

Hidden Supersymmetries of Deformed Supersymmetric Mechanics

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

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