Discrete flavour symmetries from the Heisenberg group

Non-abelian discrete symmetries are of particular importance in model building. They are mainly invoked to explain the various fermion mass hierarchies and forbid dangerous superpotential terms. In string models they are usually associated to the geometry of the compactification manifold and more pa...

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Published inPhysics letters. B Vol. 755; pp. 155 - 161
Main Authors Floratos, E.G., Leontaris, G.K.
Format Journal Article
LanguageEnglish
Published Elsevier B.V 10.04.2016
Elsevier
Subjects
Dangerous
Elementary particles
Fermions
Flavor (particle physics)
Hierarchies
Mathematical analysis
Representations
Strings
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Summary:Non-abelian discrete symmetries are of particular importance in model building. They are mainly invoked to explain the various fermion mass hierarchies and forbid dangerous superpotential terms. In string models they are usually associated to the geometry of the compactification manifold and more particularly to the magnetised branes in toroidal compactifications. Motivated by these facts, in this note we propose a unified framework to construct representations of finite discrete family groups based on the automorphisms of the discrete and finite Heisenberg group. We focus in particular, on the PSL2(p) groups which contain the phenomenologically interesting cases.
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content type line 23
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2016.02.007