English

Supersymmetry without hermiticity

High Energy Physics - Theory 2009-10-31 v1

Abstract

A new model of supersymmetry between bosons and fermions is proposed. Its representation space is spanned by states with PT symmetry and real energies but the inter-related partner Hamiltonians themselves remain complex and non-Hermitian. The formalism admits vanishing Witten index.

Keywords

Cite

@article{arxiv.hep-th/0003277,
  title  = {Supersymmetry without hermiticity},
  author = {M. Znojil and F. Cannata and B. Bagchi and R. Roychoudhury},
  journal= {arXiv preprint arXiv:hep-th/0003277},
  year   = {2009}
}

Comments

14 pages, Latex, submitted to Phys. Lett. B