187 research outputs found
Magnetized orbifold models
We study (4+2n)-dimensional N=1 super Yang-Mills theory on the orbifold
background with non-vanishing magnetic flux. In particular, we study zero-modes
of spinor fields. The flavor structure of our models is different from one in
magnetized torus models, and would be interesting in realistic model building.Comment: 26 page
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
, , , , , , , ,
and , which have been applied for model building
in the particle physics. We also present typical flavor models by using ,
, and groups. Breaking patterns of discrete groups and
decompositions of multiplets are important for applications of the non-Abelian
discrete symmetry. We discuss these breaking patterns of the non-Abelian
discrete group, which are a powerful tool for model buildings. We also review
briefly about anomalies of non-Abelian discrete symmetries by using the path
integral approach.Comment: 179 pages, 8 figures, section 15 is changed, some references are
adde
Flavor structure from magnetic fluxes and non-Abelian Wilson lines
We study the flavor structure of 4D effective theories, which are derived
from extra dimensional theories with magnetic fluxes and non-Abelian Wilson
lines. We study zero-mode wavefunctions and compute Yukawa couplings as well as
four-point couplings. In our models, we also discuss non-Abelian discrete
flavor symmetries such as , and .Comment: 27 page
CP-like Symmetry with Discrete and Continuous Groups and CP Violation/Restoration
We study physical implications of general CP symmetry including CP-like
symmetry. Various scattering amplitudes of CP asymmetry are calculated in
CP-like symmetric models. We explicitly show that the CP-like transformation
leads to a specific relation between different CP asymmetries. The resultant
relation is similar to the one obtained in GUT baryogenesis and sphaleron
processes, where we also obtain a required condition for generating particle
number asymmetry in CP-like symmetric models. In addition, we propose a
generalization of a CP-like transformation for continuous symmetry groups.
Since the CP transformation is an outer automorphism, which depends on the
internal symmetry group, it turns out that the physical CP and CP-like
symmetries can be mutually converted through the spontaneous symmetry breaking
(SSB) of the internal symmetry. We investigate properties of physical CP
asymmetry in both CP and CP-like symmetric phases, and find that the
spontaneous CP violation and restoration can be observed even in models with
continuous groups. We demonstrate that CP-like symmetric models with continuous
Lie groups can be naturally realized in physical CP symmetric models through
the SSB.Comment: 50 pages, 1 figur
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