Chirality and Dirac Operator on Noncommutative Sphere

Details Chirality and Dirac Operator on Noncommutative Sphere Chirality and Dirac Operator on Noncommutative Sphere

1996-05-02

arxiv.org/abs/hep-th/9605003v1

Commun.Math.Phys. 183 (1997) 365-382

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, latex, no figures

Scientific paper

10.1007/BF02506411

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.

Affiliated with

Also associated with

No associations

Rating

Chirality and Dirac Operator on Noncommutative Sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Chirality and Dirac Operator on Noncommutative Sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Chirality and Dirac Operator on Noncommutative Sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-297052