Boson-fermion Dyson mapping and supersymmetry in fermion systems

Details Boson-fermion Dyson mapping and supersymmetry in fermion systems Boson-fermion Dyson mapping and supersymmetry in fermion systems

1994-05-19

arxiv.org/abs/nucl-th/9405021v1

Physics

Nuclear Physics

Nuclear Theory

9 pages REVTEX (with one figure available on request from HBG), STPHY-TH/94-7

Scientific paper

We demonstrate that exact supersymmetry can emerge in a purely fermionic system. This "supersymmetry without bosons" is unveiled by constructing a novel boson-fermion Dyson mapping from a fermion space to a space comprised of collective bosons and ideal fermions. In a nuclear structure context the collective spectra of even and odd nuclei can then be unified in a supersymmetric description with Pauli correlations still exactly taken into account.

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