Simple Finite Non-Abelian Flavor Groups

Sep, 2007
42 pages
Published in:
  • J.Math.Phys. 48 (2007) 123519
e-Print:
Report number:
  • UFIFT-HEP-07-13

Citations per year

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Abstract: (arXiv)
The recently measured unexpected neutrino mixing patterns have caused a resurgence of interest in the study of finite flavor groups with two- and three-dimensional irreducible representations. This paper details the mathematics of the two finite simple groups with such representations, the Icosahedral group A_5, a subgroup of SO(3), and PSL_2(7), a subgroup of SU(3).
  • chirality
  • gauge field theory
  • SO(3) groups
  • SU(3) theory
  • group: flavor
  • group: finite
  • group theory: representation
  • group: SO(3)
  • group: SU(3)
  • Clebsch-Gordan coefficients