We construct a Dirac operator on the quantum sphere S-q(2) which is covariant under the action of SUq(2), compatible with a chirality operator, has the correct commutative limit and also a familiar fuzzy sphere limit. In the fuzzy sphere limit it reduces to Watamuras' Dirac operator. We argue that our Dirac operator may be useful in constructing SUq(2) invariant field theories on S-q(2) following the Connes-Lott approach to noncommutative geometry. (C) 2001 Published by Elsevier Science B.V. [References: 33]
展开▼