Fermionic Zero Modes in Gauge and Gravity Backgrounds on a Sphere

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In this letter we study fermionic zero modes in gauge and gravity backgrounds taking a two dimensional compact manifold $S^2$ as extra dimensions. The result is that there exist massless Dirac fermions which have normalizable zero modes under quite general assumptions about these backgrounds on the bulk. Several special cases of gauge background on the sphere are discussed and some simple fermionic zero modes are obtained.
8 pages, no figures, accepted by Commun. Theor. Phys; V4: one reference added

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High Energy Physics - Theory

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http://salesiana.dossiersoluciones.com/handle/123456789/204475

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.4369
 http://arxiv.org/abs/0709.4369
 Commun.Theor.Phys.49:1577-1579,2008
 doi:10.1088/0253-6102/49/6/47

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arXiv