Super-extended noncommutative Landau problem and conformal symmetry

Alvarez, Pedro D.; Cortes, Jose L.; Horvathy, Peter A.; Plyushchay, Mikhail S.

Abstract

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) similar to su(1, 1) symmetry; the latter is changed into so(3) similar to su(2) in the super-critical phase. In the critical phase the spin degrees of freedom are frozen and supersymmetry disappears.

Más información

Título según WOS: Super-extended noncommutative Landau problem and conformal symmetry
Título de la Revista: JOURNAL OF HIGH ENERGY PHYSICS
Número: 3
Editorial: Springer
Fecha de publicación: 2009
DOI:

10.1088/1126-6708/2009/03/034

Notas: ISI