Gauged Laplacians on quantum Hopf bundles

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dc.creatorLandi, Giovanni
dc.creatorReina, Cesare
dc.creatorZampini, Alessandro
dc.date2008-01-22
dc.date2008-11-18
dc.date.accessioned2026-07-07T12:43:07Z
dc.date.available2026-07-07T12:43:07Z
dc.descriptionWe study gauged Laplacian operators on line bundles on a quantum 2-dimensional sphere. Symmetry under the (co)-action of a quantum group allows for their complete diagonalization. These operators describe `excitations moving on the quantum sphere' in the field of a magnetic monopole. The energies are not invariant under the exchange monopole/antimonopole, that is under inverting the direction of the magnetic field. There are potential applications to models of quantum Hall effect.
dc.descriptionv2: latex; 32 pages. Papers re-organized; no major changes, several minor ones. Commun. Math. Phys. In press
dc.identifierhttps://arxiv.org/abs/0801.3376
dc.identifierhttp://arxiv.org/abs/0801.3376
dc.identifierCommun.Math.Phys.287:179-209,2009
dc.identifierdoi:10.1007/s00220-008-0672-5
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220310
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subject58B32
dc.titleGauged Laplacians on quantum Hopf bundles
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