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Dynamical and invariant supersymmetry in the fermion pairing problem

Dynamical and invariant supersymmetry in the fermion pairing problem

We argue that fermion-boson mapping techniques represent a natural tool for studying many-body supersymmetry in fermionic systems with pairing. In particular, using the generalized Dyson mapping of a many-level fermion superalgebra with the SU(2) type of pairing we investigate two kinds of supersymmetry connecting excitations in the systems with even …