English

Boson-fermion Dyson mapping and supersymmetry in fermion systems

Nuclear Theory 2009-09-25 v1 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.nucl-th/9405021,
  title  = {Boson-fermion Dyson mapping and supersymmetry in fermion systems},
  author = {P Navratil and H B Geyer and J Dobaczewski},
  journal= {arXiv preprint arXiv:nucl-th/9405021},
  year   = {2009}
}

Comments

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