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Boson-fermion Dyson mapping and supersymmetry in fermion systems

P Navratil·H B Geyer·J Dobaczewski
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Abstract

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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P Navratil, H B Geyer, J Dobaczewski. 1994-05-19. Boson-fermion Dyson mapping and supersymmetry in fermion systems. https://arxiv.org/abs/nucl-th/9405021

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