Preprint TU-498 March 1996 Chirality and Dirac Operator on Noncommutative Sphere

@inproceedings{CarowWatamura1996PreprintTM,
  title={Preprint TU-498 March 1996 Chirality and Dirac Operator on Noncommutative Sphere},
  author={Ursula Carow-Watamura and Satoshi Watamura},
  year={1996}
}
  • Ursula Carow-Watamura, Satoshi Watamura
  • Published 1996
We give a derivation of the Dirac operator on the noncommutative 2-sphere within the framework of the bosonic fuzzy sphere and define Connes’ triple. It turns out that there are two different types of spectra of the Dirac operator and correspondingly there are two classes of quantized algebras. As a result we obtain a new restriction on the Planck constant in Berezin’s quantization. The map to the local frame in noncommutative geometry is also discussed. Fellow of the Japan Society for… CONTINUE READING
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