Effective Wess-Zumino-Witten Action for Edge States of Quantum Hall Systems on Bergman Ball

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dc.creatorDaoud, Mohammed
dc.creatorJellal, Ahmed
dc.date2006-05-30
dc.date2007-04-23
dc.date.accessioned2026-07-07T11:06:34Z
dc.date.available2026-07-07T11:06:34Z
dc.descriptionUsing a group theory approach, we investigate the basic features of the Landau problem on the Bergman ball {\bf B}^k. This can be done by considering a system of particles living on {\bf B}^k in the presence of an uniform magnetic field B and realizing the ball as the coset space SU(k,1)/U(k). In quantizing the theory on {\bf{B}}^k, we define the wavefunctions as the Wigner \cal{D}-functions satisfying a set of suitable constraints. The corresponding Hamiltonian is mapped in terms of the right translation generators. In the lowest Landau level, we obtain the wavefunctions as the SU(k,1) coherent states. This are used to define the star product, density matrix and excitation potential in higher dimensions. With these ingredients, we construct a generalized effective Wess-Zumino-Witten action for the edge states and discuss their nature.
dc.description19 pages, clarifications and some equations removed, version published in NPB
dc.identifierhttps://arxiv.org/abs/hep-th/0605289
dc.identifierhttp://arxiv.org/abs/hep-th/0605289
dc.identifierNucl.Phys.B764:109-127,2007
dc.identifierdoi:10.1016/j.nuclphysb.2006.11.032
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189565
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.titleEffective Wess-Zumino-Witten Action for Edge States of Quantum Hall Systems on Bergman Ball
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