Dirac operators on the S3 and S2 spheres

被引：3

作者：

di Cosmo, Fabio ^{[1
]}

Zampini, Alessandro ^{[2
,3
]}

机构：

[1] Univ Napoli, Dipartimento Sci Fis, INFN, Sez Napoli, Via Cintia, I-80126 Naples, Italy

[2] Univ Luxembourg, Math Res Unit, 6 Rue Richard Coudenhove Kalergi, Cite De Luxembourg, Luxembourg

[3] INFN, Sez Napoli, Via Cintia, I-80126 Naples, Italy

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2017年 / 14卷 / 08期

关键词：

Dirac operators; spinors; spheres; SPINORS; SPACES; FORMS;

D O I：

10.1142/S0219887817400059

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We describe both the Hodge-de Rham and the spin manifold Dirac operator on the spheres S-3 and S-2, following the formalism introduced by Kahler, and exhibit a complete spectral resolution for them in terms of suitably globally defined eigenspinors.

引用

页数：34

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