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
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.
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页数:34
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