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Spontaneous breaking of SU(3) to finite family symmetries: a pedestrian's approach

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arxiv 1101.2417 v1 pith:HUCH2L6T submitted 2011-01-12 hep-ph hep-th

classification hep-phhep-th
keywords breakingsymmetriesdiscussfamilyrequiredspontaneoussymmetryachieve
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Non-Abelian discrete family symmetries play a pivotal role in the formulation of models with tri-bimaximal lepton mixing. We discuss how to obtain symmetries such as A4, semidirect product of Z7 and Z3, and Delta(27) from an underlying SU(3) gauge symmetry. Higher irreducible representations are required to achieve the spontaneous breaking of the continuous group. We present methods of identifying the required vacuum alignments and discuss in detail the symmetry breaking potentials.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flavor Symmetries and Winding Modes

    hep-th 2025-06 conditional novelty 6.0 of 10

    In the Z3 heterotic orbifold, the modular symmetry of the Kähler modulus is Gamma(3), and the discrete flavor symmetry Delta(27) arises from misaligned U(1) gauge symmetries that become massless at different critical points.

  2. Trimaximal TM$_1$ mixing with two modular $S_4$ groups

    hep-ph 2019-08 accept novelty 6.0 of 10

    A two-modular-S4 flavour model predicts TM1 lepton mixing and a new mass sum rule that keeps the lightest neutrino mass above roughly 0.025 eV.

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