Chirality and Dirac operator on noncommutative sphere

Ursula Carow-Watamura, Satoshi Watamura

研究成果: Article査読

88 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)365-382
ページ数18
ジャーナルCommunications in Mathematical Physics
183
2
DOI
出版ステータスPublished - 1997 1 2

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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