Planar Super-Landau Models

Details Planar Super-Landau Models Planar Super-Landau Models

2005-10-03

arxiv.org/abs/hep-th/0510019v4

JHEP0601:143,2006

Physics

High Energy Physics

High Energy Physics - Theory

23 pages, Note Added, References, Acknowledgments

Scientific paper

10.1088/1126-6708/2006/01/143

In previous papers we solved the Landau problems, indexed by 2M, for a particle on the ``superflag'' S U (2|1)/[U (1) x U (1)], the M = 0 case being equivalent to the Landau problem for a particle on the ``supersphere'' S U (2|1)/[U (1|1)]. Here we solve these models in the planar limit. For M = 0 we have a particle on the complex superplane C(1|1) ; its Hilbert space is the tensor product of that of the Landau model with the 4-state space of a ``fermionic'' Landau model. Only the lowest level is ghost-free, but for M > 0 there are no ghosts in the first [2M ]+1 levels. When 2M is an integer, the ([2M ] + 1)th level states form short supermultiplets as a consequence of a fermionic gauge invariance analogous to the ``kappa-symmetry'' of the superparticle.

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