Hyperbolic Supersymmetric Quantum Hall Effect

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dc.creatorHasebe, Kazuki
dc.date2008-09-29
dc.date2009-01-26
dc.date.accessioned2026-07-07T12:34:05Z
dc.date.available2026-07-07T12:34:05Z
dc.descriptionDeveloping a non-compact version of the SUSY Hopf map, we formulate the quantum Hall effect on a super-hyperboloid. Based on $OSp(1|2)$ group theoretical methods, we first analyze the one-particle Landau problem, and successively explore the many-body problem where Laughlin wavefunction, hard-core pseudo-potential Hamiltonian and topological excitations are derived. It is also shown that the fuzzy super-hyperboloid emerges in the lowest Landau level.
dc.description14 pages, two columns, no figures, published version, typos corrected
dc.identifierhttps://arxiv.org/abs/0809.4885
dc.identifierhttp://arxiv.org/abs/0809.4885
dc.identifierPhys.Rev.D78:125024,2008
dc.identifierdoi:10.1103/PhysRevD.78.125024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217298
dc.subjectHigh Energy Physics - Theory
dc.subjectMesoscale and Nanoscale Physics
dc.subjectMathematical Physics
dc.titleHyperbolic Supersymmetric Quantum Hall Effect
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