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