Journal of High Energy Physics

, 2018:173 | Cite as

Spontaneous breaking of SO(3) to finite family symmetries with supersymmetry — an A4 model

  • Stephen F. King
  • Ye-Ling Zhou
Open Access
Regular Article - Theoretical Physics


We discuss the breaking of SO(3) down to finite family symmetries such as A4, S4 and A5 using supersymmetric potentials for the first time. We analyse in detail the case of supersymmetric A4 and its finite subgroups Z3 and Z2. We then propose a supersymmetric A4 model of leptons along these lines, originating from SO(3) × U(1), which leads to a phenomenologically acceptable pattern of lepton mixing and masses once subleading corrections are taken into account. We also discuss the phenomenological consequences of having a gauged SO(3), leading to massive gauge bosons, and show that all domain wall problems are resolved in this model.


Gauge Symmetry Discrete Symmetries Neutrino Physics Supersymmetric Effective Theories 


Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.


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Copyright information

© The Author(s) 2018

Authors and Affiliations

  1. 1.School of Physics and AstronomyUniversity of SouthamptonSouthamptonUnited Kingdom
  2. 2.Institute for Particle Physics Phenomenology, Department of PhysicsDurham UniversityDurhamUnited Kingdom

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