Hiroshi Ohki

Non-Abelian Discrete Symmetries in Particle Physics

We review pedagogically non-Abelian discrete groups, which play an important role in the particle physics. We show group-theoretical aspects for many concrete groups, such as representations, their tensor products. We explain how to derive, conjugacy classes, characters, representations, and tensor products for these groups (with a finite number). We discussed them explicitly for

Magnetized orbifold models

S_N

Non-Abelian discrete flavor symmetries from magnetized/intersecting brane models

,

D(4) Flavor Symmetry for Neutrino Masses and Mixing

A_N

Soft supersymmetry breaking terms from D(4) x Z(2) lepton flavor symmetry

,

Magnetic flux, Wilson line, and orbifold

T

Three generation magnetized orbifold models

,

Flavor structure from magnetic fluxes and non-Abelian Wilson lines

D_N

Higher order couplings in magnetized brane models

,

E 6,7,8 magnetized extra-dimensional models

Q_N