Zobrazeno 1 - 10
of 155
pro vyhledávání: '"Uchida, Hikaru"'
We study the modular symmetry of localized modes on fixed points of $T^2/\mathbb{Z}_2$ orbifold. First, we find that the localized modes with even (odd) modular weight generally have $\Delta(6n^2)$ ($\Delta'(6n^2)$) modular flavor symmetry. Moreover,
Externí odkaz:
http://arxiv.org/abs/2410.05788
We study an approach to construct Siegel modular forms from $Sp(6,Z)$. Zero-mode wave functions on $T^6$ with magnetic flux background behave Siegel modular forms at the origin. Then $T$-symmetries partially break depending on the form of background
Externí odkaz:
http://arxiv.org/abs/2310.17978
We study the modular symmetry in magnetized $T^{2g}$ torus and orbifold models. The $T^{2g}$ torus has the modular symmetry $\Gamma_{g}=Sp(2g,\mathbb{Z})$. Magnetic flux background breaks the modular symmetry to a certain normalizer $N_{g}(H)$. We cl
Externí odkaz:
http://arxiv.org/abs/2309.16447
We study of fermion zero-modes on magnetized $T^6/\mathbb{Z}_N$ orbifolds. In particular, we focus on non-factorizable orbifolds, i.e. $T^6/\mathbb{Z}_7$ and $T^6/\mathbb{Z}_{12}$ corresponding to $SU(7)$ and $E_6$ Lie lattices respectively. The numb
Externí odkaz:
http://arxiv.org/abs/2305.16709
Autor:
Uchida, Hikaru
As the effective field theory of the superstring theory, ten-dimensional ${\cal N}=1$ supersymmetric Yang-Mills theory is induced. We consider the ten-dimensional space-time ${\cal M}_{10}$ as direct products of our four-dimensional space-time ${\cal
Externí odkaz:
http://arxiv.org/abs/2303.17173
Publikováno v:
Phys. Rev. D 107 (2023) 9, 095039
We study the generation number of massless fermions in compactifications recently found in heterotic supergravity. The internal spaces are products of two-dimensional spaces of constant curvature, and the standard embedding is not assumed. The genera
Externí odkaz:
http://arxiv.org/abs/2303.09872
Quark mass hierarchies and CP violation in $A_4\times A_4\times A_4$ modular symmetric flavor models
We study $A_4 \times A_4 \times A_4$ modular symmetric flavor models to realize quark mass hierarchies and mixing angles without fine-tuning. Mass matrices are written in terms of modular forms. At modular fixed points $\tau = i\infty$ and $\omega$,
Externí odkaz:
http://arxiv.org/abs/2302.03326
Autor:
Kikuchi, Shota, Kobayashi, Tatsuo, Nasu, Kaito, Otsuka, Hajime, Takada, Shohei, Uchida, Hikaru
We revisit the modular weights in type IIB magnetized D-brane models. The simple analysis of wave function shows that the four-dimensional matter fields have the modular weight -1/2, but it may shift as one in type IIA intersecting D-brane models. Fo
Externí odkaz:
http://arxiv.org/abs/2301.10356
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 modul
Externí odkaz:
http://arxiv.org/abs/2301.03737
Publikováno v:
JHEP06(2023)013
We study fermion zero-mode wavefunctions on $T^4/Z_N$ orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of $Sp(4,\mathbb{Z})$ modular transformation. Conditions needed to realize three generation models are clarifi
Externí odkaz:
http://arxiv.org/abs/2211.07813