Spontaneous Breaking of Gauge Groups to Discrete Symmetries

Abstract

Many models of beyond Standard Model physics connect flavor symmetry with a discrete group. Having this symmetry arise spontaneously from a gauge theory maintains compatibility with quantum gravity and can be used to systematically prevent anomalies. We minimize a number of Higgs potentials that break gauge groups to discrete symmetries of interest, and examine their scalar mass spectra.

45 pages

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Cited by in corpus (11)

• Neutrino Mass and Mixing with $A_5$ Modular Symmetry
• Modular $A_4$ Symmetry Models of Neutrinos and Charged Leptons
• Trimaximal TM${}_1$ mixing with two modular $S_4$ groups
• Multiple modular symmetries as the origin of flavour
• Twin Modular $S_4$ with $SU(5)$ GUT
• Symplectic modular symmetry in heterotic string vacua: flavor, CP, and $R$-symmetries
• Spontaneous breaking of $SO(3)$ to finite family symmetries with supersymmetry - an $A_4$ model
• Common origin of ${\theta }_{13}$ and dark matter within the flavor symmetric scoto-seesaw framework
• Signals of New Gauge Bosons in Gauged Two Higgs Doublet Model
• Tribimaximal Mixing in the $SU(5)\times {\mathcal{T}}_{13}$ Texture
• Constraints on discrete global symmetries in quantum gravity