Dirac operators on quantum two spheres

Details Dirac operators on quantum two spheres Dirac operators on quantum two spheres

1994-05-27

arxiv.org/abs/hep-th/9405180v1

Mod.Phys.Lett. A9 (1994) 2325-2334

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1142/S0217732394002197

We investigate the spin $1/2$ fermions on quantum two spheres. It is shown
that the wave functions of fermions and a Dirac Operator on quantum two spheres
can be constructed in a manifestly covariant way under the quantum group
$SU(2)_q$. The concept of total angular momentum and chirality can be expressed
by using $q$-analog of Pauli-matrices and appropriate commutation relations.

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