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arXiv · hep-th/0612300

Planar Super-Landau Models Revisited

Thomas Curtright·Evgeny Ivanov·Luca Mezincescu·Paul K. Townsend
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Abstract

We use the methods of PT-symmetric quantum theory to find a one-parameter family of ISU(1|1)-invariant planar super-Landau models with positive norm, uncovering an `accidental', and generically spontaneously-broken, worldline supersymmetry, with charges that have a Sugawara-type representation in terms of the ISU(1|1) charges. In contrast to standard models of supersymmetric quantum mechanics, it is the norms of states rather than their energies that are parameter-dependent, and the spectrum changes discontinuously in the limit that worldline supersymmetry is restored.

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Thomas Curtright, Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend. 2007-01-31. Planar Super-Landau Models Revisited. https://doi.org/10.1088/1126-6708%2F2007%2F04%2F020

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