Title | Gauged Laplacians on quantum Hopf bundles |
Publication Type | Journal Article |
Year of Publication | 2009 |
Authors | Landi, G, Reina, C, Zampini, A |
Journal | Comm. Math. Phys. 287 (2009) 179-209 |
Abstract | We 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. |
URL | http://hdl.handle.net/1963/3540 |
DOI | 10.1007/s00220-008-0672-5 |
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