Dirac operators on the S3 and S2 spheres-Reference-Cited by-同舟云学术

Dirac operators on the S3 and S2 spheres

Published:2017-05-11 Issue:08 Volume:14 Page:1740005
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Cosmo Fabio di¹,Zampini Alessandro²³

Affiliation:

1. Dipartimento di Scienze Fisiche, Università di Napoli, INFN, sezione di Napoli, via Cintia, 80126 Napoli, Italy

2. Mathematics Research Unit, University of Luxembourg, 6, Rue Richard Coudenhove-Kalergi, Citè de Luxembourg, Luxembourg

3. INFN, sezione di Napoli, via Cintia, 80126 Napoli, Italy

Abstract

We describe both the Hodge–de Rham and the spin manifold Dirac operator on the spheres [Formula: see text] and [Formula: see text], following the formalism introduced by Kähler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887817400059

Reference17 articles.

1. The Dirac operator on space forms of positive curvature

2. Dirac operators on coset spaces

3. On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces

4. A new classical solution of the Yang-Mills field equations

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