Supersymmetry without hermiticity

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.

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

References in corpus (2)

• A new PT symmetric complex Hamiltonian with a real spectra
• Exact solution for Morse oscillator in PT-symmetric quantum mechanics

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