Unitary Spherical Super-Landau Models
High Energy Physics - Theory
2011-03-02 v3 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
A Hilbert space metric is found for the SU(2|1)-invariant `superflag' Landau models, parametrized by integer 2N' and real number M, such that the Hilbert space norm is positive definite. The spectrum of these unitary super-Landau models is determined. The M=0 case yields a unitary Landau model on the supersphere SU(2|1)/U(1|1) with U(1) charge 2N=2N'+1. For the generic unitary superflag model, the manifest SU(2|1) symmetry is dynamically enhanced to SU(2|2); this is the `spherical' analog of the hidden worldline supersymmetry found previously in the planar limit.
Keywords
Cite
@article{arxiv.0806.4716,
title = {Unitary Spherical Super-Landau Models},
author = {Andrey Beylin and Thomas L. Curtright and Evgeny Ivanov and Luca Mezincescu and Paul K. Townsend},
journal= {arXiv preprint arXiv:0806.4716},
year = {2011}
}
Comments
51 pages. Minor changes. Some new references