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arXiv:nucl-th/9405021·v1·Nuclear Theory

Boson-fermion Dyson mapping and supersymmetry in fermion systems

P Navratil🇿🇦 · H B Geyer🇿🇦 · J Dobaczewski🇿🇦

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.

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

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