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arXiv · hep-th/0510019

Planar Super-Landau Models

Evgeny Ivanov·Luca Mezincescu·Paul K. Townsend
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Abstract

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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Evgeny Ivanov, Luca Mezincescu, Paul K. Townsend. 2005-10-21. Planar Super-Landau Models. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F143

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