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arxiv: hep-th/0003277 · v1 · submitted 2000-03-30 · ✦ hep-th

Supersymmetry without hermiticity

classification ✦ hep-th
keywords supersymmetryadmitsbosonscomplexenergiesfermionsformalismhamiltonians
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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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