Flavor dynamics with conformal matter and gauge theories on compact hyperbolic manifolds in extra dimensions

D. A. Demir, M. Shifman

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15 Scopus citations

Abstract

We outline a toy model in which a unique mechanism may trigger a dynamical chain resulting in key low-energy regularities. The starting points are a negative cosmological term in the bulk and conformally invariant nongravity sector. These elements ensure compactification of the extra dimensional space on a compact hyperbolic manifold (with the negative and constant scalar curvature). The overall geometry is then M 4×B n. The negative curvature on B n triggers the formation of the four-dimensional defect which provides in turn a dynamical localization of ordinary particles. It also leads, simultaneously, to a spontaneous breaking of gauge symmetry through a Higgs mechanism. Masses of the fermions, gauge bosons and scalars all derive from the curvature of the internal manifold such that the Higgs boson is generally heavier than the gauge bosons. The factorizable geometry M 4×B n and flatness of M 4 require fine tuning.

Original languageEnglish (US)
Article number104002
JournalPhysical Review D
Volume65
Issue number10
DOIs
StatePublished - 2002

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