Dirac Operator on the Quantum Sphere

Details Dirac Operator on the Quantum Sphere Dirac Operator on the Quantum Sphere

2001-03-23

arxiv.org/abs/hep-th/0103206v3

Phys.Lett. B512 (2001) 217-224

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

10.1016/S0370-2693(01)00670-0

We construct a Dirac operator on the quantum sphere $S^2_q$ which is
covariant under the action of $SU_q(2)$. It reduces to Watamuras' Dirac
operator on the fuzzy sphere when $q\to 1$. We argue that our Dirac operator
may be useful in constructing $SU_q(2)$ invariant field theories on $S^2_q$
following the Connes-Lott approach to noncommutative geometry.

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