Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-29
JHEP 0704:020,2007
Physics
High Energy Physics
High Energy Physics - Theory
25 pages. Substantial revision to include discussion of classical worldline supersymmetry. Additional reference
Scientific paper
10.1088/1126-6708/2007/04/020
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.
Curtright Thomas
Ivanov Evgeny
Mezincescu Luca
Townsend Paul K.
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