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

  title={Preprint TU-498 March 1996 Chirality and Dirac Operator on Noncommutative Sphere},
  author={Ursula Carow-Watamura and Satoshi Watamura},
  • 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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The fuzzy sphere, Class

  • J. Madore
  • Quant. Grav
  • 1992
Highly Influential
5 Excerpts

Schwinger model on S2

  • C. Jayewardena
  • Helvetica Physica Acta 61,
  • 1988
Highly Influential
4 Excerpts

Quantization of Kähler Manifolds II , Transactions of the

  • M. Cahen, S. Gutt, J. Rawnsley
  • American Math . Soc .
  • 1993

The Construction of Noncommutative Manifolds

  • H. Grosse, P. Presnajder
  • Using Coherent States. Lett. Math. Phys. 28,
  • 1993
1 Excerpt

The Construction of Noncommutative Manifolds Using Coherent States

  • H. Grosse, P. Presnajder
  • Lett . Math . Phys .
  • 1993

A noncommutative version of the Schwinger model

  • H. Grosse, J. Madore
  • Phys. Lett. 283,
  • 1992
2 Excerpts

Deformation Estimates for the Berezin-Toeplitz Quantization

  • L. A. Coburn
  • Commun. Math. Phys. 149,
  • 1992
1 Excerpt

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