2015/11/05 by E.G. Floratos, E. G. Floratos, G.K. Leontaris +1
Mathematics · Physics and Astronomy · #Abelian group #Algebra over a field #Automorphism #Black Holes and Theoretical Physics #Compactification (mathematics) #Discrete group #Discrete symmetry #Geometry #Group (periodic table) #Heisenberg group #Homogeneous space #Mathematical physics #Mathematics #Neutrino Physics Research #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Superpotential #Supersymmetry #Symmetry group #Theoretical physics #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.physletb.2016.02.007
16 pages
arxiv created 2015/11/05 · openalex publication_date 2016/02/09 · arxiv updated 2016/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 in the PSL2(p) groups which contain the phenomenologically interesting cases.