2,535 research outputs found
CP-violating phase on magnetized toroidal orbifolds
We study the CP-violating phase of the quark sector in the flavor
model on with non-vanishing magnetic fluxes, where
properties of possible origins of the CP violation are investigated minutely.
In this system, a non-vanishing value is mandatory in the real part of the
complex modulus parameter of the two-dimensional torus. On without
orbifolding, underlying discrete flavor symmetries severely restrict the form
of Yukawa couplings and it is very difficult to reproduce the observed pattern
in the quark sector including the CP-violating phase . In
cases of multiple Higgs doublets emerging on , the mass matrices of
the zero-mode fermions can be written in the Gaussian textures by choosing
appropriate configurations of vacuum expectation values of the Higgs fields.
When such Gaussian textures of mass matrices are realized, we show that all of
the quark profiles, which are mass hierarchies among the quarks, quark mixing
angles, and can be simultaneously realized.Comment: 24 pages, 21 figures, 4 tables (v2, published version from JHEP
A viable D-term hybrid inflation
We propose a new model of the D-term hybrid inflation in the framework of
supergravity. Although our model introduces, analogously to the conventional
D-term inflation, the inflaton and a pair of scalar fields charged under a
gauge symmetry, we study the logarithmic and exponential dependence on
the inflaton field, respectively, for the K\"ahler and superpotential. This
results in a characteristic one-loop scalar potential consisting of linear and
exponential terms, which realizes the small-field inflation dominated by the
Fayet-Iliopoulos term. With the reasonable values for the coupling coefficients
and, in particular, with the gauge coupling constant comparable to that
of the Standard Model, our D-term inflation model can solve the notorious
problems in the conventional D-term inflation, namely, the CMB constraints on
the spectral index and the generation of cosmic strings.Comment: 16 pages, 14 figure
Operator analysis of physical states on magnetized orbifolds
We discuss an effective way for analyzing the system on the magnetized
twisted orbifolds in operator formalism, especially in the complicated cases
, and . We can obtain the exact and
analytical results which can be applicable for any larger values of the
quantized magnetic flux M, and show that the (non-diagonalized) kinetic terms
are generated via our formalism and the number of the surviving physical states
are calculable in a rigorous manner by simply following usual procedures in
linear algebra in any case. Our approach is very powerful when we try to
examine properties of the physical states on (complicated) magnetized orbifolds
, , (and would be in other cases on
higher-dimensional torus) and could be an essential tool for actual realistic
model construction based on these geometries.Comment: 41 pages, 1 figur
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