Fermion Generations from "Apple-Shaped" Extra Dimensions

Details Fermion Generations from "Apple-Shaped" Extra Dimensions Fermion Generations from "Apple-Shaped" Extra Dimensions

2007-06-05

arxiv.org/abs/0706.0676v2

JHEP 0708:033,2007

Physics

High Energy Physics

High Energy Physics - Theory

The version to be published in JHEP

Scientific paper

10.1088/1126-6708/2007/08/033

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.

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