Supersymmetry without hermiticity
M. Znojil, F. Cannata, B. Bagchi, R. Roychoudhury
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.
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