Spacetime as a topological insulator: Mechanism for the origin of the fermion generations

Abstract

We suggest a mechanism whereby the three generations of quarks and leptons correspond to surface modes in a five-dimensional theory. These modes arise from a nonlinear fermion dispersion relation in the extra dimension, much in the same manner as fermion surface modes in a topological insulator or lattice implementation of domain wall fermions. We also show that the topological properties can persist in a deconstructed version of the model in four dimensions.

Substantially revised version, to appear in Phys. Rev. Lett

References in corpus (6)

• Topological Field Theory of Time-Reversal Invariant Insulators
• GUTs and Exceptional Branes in F-theory - II: Experimental Predictions
• Flavor from Minimal Flavor Violation & a Viable Randall-Sundrum Model
• Natural Neutrino Masses and Mixings from Warped Geometry
• Fermion generations, masses and mixings in a 6D brane model
• Fermion Families from Two Layer Warped Extra Dimensions

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