Planar Super-Landau Models Revisited

Evgeny Ivanov; Luca Mezincescu; Paul K. Townsend; Thomas Curtright

Planar Super-Landau Models Revisited

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arxiv hep-th/0612300 v2 pith:N6FQXH3H submitted 2006-12-29 hep-th

Thomas Curtright , Evgeny Ivanov , Luca Mezincescu , Paul K. Townsend This is my paper · ORCID

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keywords modelschargesplanarquantumsuper-landausupersymmetryworldlineaccidental

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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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