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Supersymmetry and the spontaneous breakdown of PT symmetry

Patrick Dorey·Clare Dunning·Roberto Tateo
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Abstract

The appearances of complex eigenvalues in the spectra of PT-symmetric quantum-mechanical systems are usually associated with a spontaneous breaking of PT. In this letter we discuss a family of models for which this phenomenon is also linked with an explicit breaking of supersymmetry. Exact level-crossings are located, and connections with N-fold supersymmetry and quasi-exact solvability in certain special cases are pointed out.

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Patrick Dorey, Clare Dunning, Roberto Tateo. 2001-07-11. Supersymmetry and the spontaneous breakdown of PT symmetry. https://doi.org/10.1088/0305-4470%2F34%2F28%2F102

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