Planar Super-Landau Models Revisited

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.

25 pages. Substantial revision to include discussion of classical worldline supersymmetry. Additional reference

References in corpus (4)

• Introduction to PT-Symmetric Quantum Theory
• Supersymmetric Quantum Hall Effect on Fuzzy Supersphere
• Quantum Hall Liquid on a Noncommutative Superplane
• Planar Super-Landau Models

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