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.

The version to be published in JHEP

References in corpus (10)

• Sidestepping the Cosmological Constant with Football-Shaped Extra Dimensions
• Standard 4d gravity on a brane in six dimensional flux compactifications
• Gauge Fields, Fermions and Mass Gaps in 6D Brane Worlds
• Regularization of conical singularities in warped six-dimensional compactifications
• Fermion generations, masses and mixings in a 6D brane model
• Kicking the Rugby Ball: Perturbations of 6D Gauged Chiral Supergravity
• Isolated Minkowski vacua, and stability analysis for an extended brane in the rugby ball
• Yukawa Couplings in a Model with Gauge, Higgs and Matter Unification
• Successful Yukawa structures in Warped Extra Dimensions
• Discrete symmetries and neutrino masses

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