Super-extended noncommutative Landau problem and conformal symmetry

Details Super-extended noncommutative Landau problem and conformal symmetry Super-extended noncommutative Landau problem and conformal symmetry

2009-01-08

arxiv.org/abs/0901.1021v3

JHEP 0903:034,2009

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, references added, published version

Scientific paper

10.1088/1126-6708/2009/03/034

A supersymmetric spin-1/2 particle in the noncommutative plane, subject to an arbitrary magnetic field, is considered, with particular attention paid to the homogeneous case. The system has three different phases, depending on the magnetic field. Due to supersymmetry, the boundary critical phase which separates the sub- and super-critical cases can be viewed as a reduction to the zero-energy eigensubspace. In the sub-critical phase the system is described by the superextension of exotic Newton-Hooke symmetry, combined with the conformal so(2,1) ~ su(1,1) symmetry; the latter is changed into so(3) ~ su(2) in the super-critical phase. In the critical phase the spin degrees of freedom are frozen and supersymmetry disappears.

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