349 research outputs found
Wavefunctions and Yukawa Couplings on Resolutions of Orbifolds
We propose matter wavefunctions on resolutions of
singularities with constant magnetic fluxes. In the blow-down limit, the
obtained wavefunctions of chiral zero-modes result in those on the magnetized
orbifold models, but the wavefunctions of
-invariant zero-modes receive the blow-up effects around fixed
points of orbifolds. Such blow-up effects change the
selection rules and Yukawa couplings among the chiral zero-modes as well as the
modular symmetry, in contrast to those on the magnetized
orbifold models.Comment: 19 pages, 2 figures, v2: published versio
Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds
We study the modular symmetry on magnetized toroidal orbifolds with
Scherk-Schwarz phases. In particular, we investigate finite modular flavor
groups for three-generation modes on magnetized orbifolds. The three-generation
modes can be the three-dimensional irreducible representations of covering
groups and central extended groups of for , that is,
covering groups of for even and central extensions of
for odd with Scherk-Schwarz phases. We also study
anomaly behaviors.Comment: 34 page
Texture zeros of quark mass matrices at fixed point in modular flavor symmetry
We study systematically derivation of the specific texture zeros, that is the
nearest neighbor interaction (NNI) form of the quark mass matrices at the fixed
point in modular flavor symmetric models. We present models that
the NNI forms of the quark mass matrices are simply realized at the fixed point
in the modular flavor symmetry by taking account
multi-Higgs fields. Such texture zero structure originates from the charge
of the residual symmetry of . The NNI form can be realized at
the fixed point in and modular flavor models with
two pairs of Higgs fields when we assign properly modular weights to Yukawa
couplings and and representations to three generations of quarks.
We need four pairs of Higgs fields to realize the NNI form in modular
flavor models.Comment: 37 page
Quark hierarchical structures in modular symmetric flavor models at level 6
We study modular symmetric quark flavor models without fine-tuning. Mass
matrices are written in terms of modular forms, and modular forms in the
vicinity of the modular fixed points become hierarchical depending on their
residual charges. Thus modular symmetric flavor models in the vicinity of the
modular fixed points have a possibility to describe mass hierarchies without
fine-tuning. Since describing quark hierarchies without fine-tuning requires
residual symmetry with , we focus on modular symmetry
in the vicinity of the cusp where residual symmetry
remains. We use only modular forms belonging to singlet representations of
to make our analysis simple. Consequently, viable quark flavor
models are obtained without fine-tuning.Comment: 29 page
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