Planar Super-Landau Models
نویسندگان
چکیده
In previous papers we solved the Landau problems, indexed by 2M , for a particle on the “superflag” SU(2|1)/[U(1) × U(1)], the M = 0 case being equivalent to the Landau problem for a particle on the “supersphere” SU(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; 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. 1 [email protected] 2 [email protected] 3 [email protected]
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