Supersymmetry and the spontaneous breakdown of PT symmetry

Details Supersymmetry and the spontaneous breakdown of PT symmetry Supersymmetry and the spontaneous breakdown of PT symmetry

2001-04-12

arxiv.org/abs/hep-th/0104119v3

J.Phys.A34:L391,2001

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 12 figures, Latex2e, amssymb, cite and graphicx. v2: a comment and two references added. v3: minor changes, and two

Scientific paper

10.1088/0305-4470/34/28/102

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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