Planar Super-Landau Models Revisited
High Energy Physics - Theory
2010-02-03 v2
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.
Keywords
Cite
@article{arxiv.hep-th/0612300,
title = {Planar Super-Landau Models Revisited},
author = {Thomas Curtright and Evgeny Ivanov and Luca Mezincescu and Paul K. Townsend},
journal= {arXiv preprint arXiv:hep-th/0612300},
year = {2010}
}
Comments
25 pages. Substantial revision to include discussion of classical worldline supersymmetry. Additional reference