
Within multi-Higgs-doublet models, one can impose symmetries on the Higgs potential, either discrete or continuous, that mix several doublets. In two-Higgs-doublet model any such symmetry can be conserved or spontaneously violated after the electroweak symmetry breaking (EWSB), depending on the coefficients of the potential. With more than two doublets, there exist symmetries which are always spontaneously violated after EWSB. We discuss the origin of this phenomenon and show its similarity to geometric frustration in condensed-matter physics.
7 pages, no figures
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Multi-Higgs models, Physical, chemical, mathematical & earth Sciences, Physique, Physics, Physique, chimie, mathématiques & sciences de la terre, FOS: Physical sciences, Explicit symmetry, Frustration
High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Multi-Higgs models, Physical, chemical, mathematical & earth Sciences, Physique, Physics, Physique, chimie, mathématiques & sciences de la terre, FOS: Physical sciences, Explicit symmetry, Frustration
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