Generalized N = 2 Super Landau Models

Details Generalized N = 2 Super Landau Models Generalized N = 2 Super Landau Models

2010-02-28

arxiv.org/abs/1003.0218v1

Physics

High Energy Physics

High Energy Physics - Theory

26 pages

Scientific paper

We generalize previous results for the superplane Landau model to exhibit an explicit worldline N = 2 supersymmetry for an arbitrary magnetic field on any two-dimensional manifold. Starting from an off-shell N = 2 superfield formalism, we discuss the quantization procedure in the general case characterized by two independent potentials on the manifold and show that the relevant Hamiltonians are factorizable. In the restricted case when both the Gauss curvature and the magnetic field are constant over the manifold and, as a consequence, the underlying potentials are related, the Hamiltonians admit infinite series of factorization chains implying the integrability of the associated systems. We explicitly determine the spectrum and eigenvectors for the particular model with CP^1 as the bosonic manifold.

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