Spin-Hall effect with quantum group symmetry

Details Spin-Hall effect with quantum group symmetry Spin-Hall effect with quantum group symmetry

2005-04-11

arxiv.org/abs/hep-th/0504092v2

Lett.Math.Phys. 75 (2006) 187-200

Physics

High Energy Physics

High Energy Physics - Theory

v2: 14 pages, latex. Several changes and additional material; two extra sections added. To appear in LMP. Dedicated to Rafael

Scientific paper

10.1007/s11005-005-0040-8

We construct a model of spin-Hall effect on a noncommutative 4 sphere with isospin degrees of freedom (coming from a noncommutative instanton) and invariance under a quantum orthogonal group. The corresponding representation theory allows to explicitly diagonalize the Hamiltonian and construct the ground state; there are both integer and fractional excitations. Similar models exist on higher dimensional noncommutative spheres and noncommutative projective spaces.

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