Gauged Laplacians on quantum Hopf bundles
Quantum Algebra
2009-02-19 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0801.3376,
title = {Gauged Laplacians on quantum Hopf bundles},
author = {Giovanni Landi and Cesare Reina and Alessandro Zampini},
journal= {arXiv preprint arXiv:0801.3376},
year = {2009}
}
Comments
v2: latex; 32 pages. Papers re-organized; no major changes, several minor ones. Commun. Math. Phys. In press