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Journal of High Energy Physics Volume 2009 JHEP03(2009) Create an alert RSS this journal

Pedro D. Alvarez et al JHEP03(2009)034 doi:10.1088/1126-6708/2009/03/034

Super-extended noncommutative Landau problem and conformal symmetry

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Pedro D. Alvareza, José L. Cortésb, Peter A. Horváthyc and Mikhail S. Plyushchaya

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Abstract References Cited By
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.

Keywords

Conformal and W Symmetry

Extended Supersymmetry

Non-Commutative Geometry

 

E-print Number: 0901.1021

Cited: by |

Refers: to

PACS

11.25.Hf Conformal field theory, algebraic structures

11.10.Nx Noncommutative field theory

11.30.Pb Supersymmetry

11.30.Ly Other internal and higher symmetries

Subjects

Particle physics and field theory

Dates

Issue 03 (March 2009)

Received 16 January 2009, accepted for publication 10 February 2009

Published 5 March 2009



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