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High Energy Physics - Theory

Title: Fermion Generations from "Apple-Shaped" Extra Dimensions

Abstract: We examine the behavior of fermions in the presence of an internal compact 2-manifold which in one of the spherical angles exhibits a conical character with an obtuse angle. The extra manifold can be pictured as an apple-like surface i.e. a sphere with an extra "wedge" insert. Such a surface has conical singularities at north and south poles. It is shown that for this setup one can obtain, in four dimensions, three trapped massless fermion modes which differ from each other by having different values of angular momentum with respect to the internal 2-manifold. The extra angular momentum acts as the family label and these three massless modes are interpreted as the three generations of fundamental fermions.
Comments: The version to be published in JHEP
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Journal reference: JHEP 0708:033,2007
DOI: 10.1088/1126-6708/2007/08/033
Cite as: arXiv:0706.0676 [hep-th]
  (or arXiv:0706.0676v2 [hep-th] for this version)

Submission history

From: Merab Gogberashvili Dr [view email]
[v1] Tue, 5 Jun 2007 14:57:15 GMT (13kb)
[v2] Mon, 13 Aug 2007 04:44:56 GMT (13kb)