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20212025
most citedQuark hierarchical structures in modular symmetric flavor models at level 6

28 citations · 121 across the 20 of their papers we have counts for

collaborators

20 papers

hep-th2025

Generation structures and Yukawa couplings in magnetized models

Tim Jeric, Tatsuo Kobayashi, Kaito Nasu +1

We study fermion zero-mode wave functions with various chiralities in magnetized , torus. First, we consider the wave functions satisfying the Dirac equation and…

hep-ph2024

Large and small hierarchies from finite modular symmetries

Tetsutaro Higaki, Junichiro Kawamura, Tatsuo Kobayashi +2

We study the moduli stabilization by the radiative corrections due to the moduli dependent vector-like masses invariant under the finite modular symmetry. The radiative stabilizati…

hep-th2024

Moduli stabilization and light axion by Siegel modular forms

Shuta Funakoshi, Junichiro Kawamura, Tatsuo Kobayashi +2

We discuss the stabilization of multiple moduli by utilizing Siegel modular forms in the framework of modular invariant theories. We derive the stationary condi…

hep-th2024

Flavor symmetries from modular subgroups in magnetized compactifications

Tatsuo Kobayashi, Kaito Nasu, Ryusei Nishida +2

We study the flavor structures of zero-modes, which are originated from the modular symmetry on and its orbifold with magnetic fluxes. We introduce the constrai…

hep-ph2024

Spontaneous CP violation and partially broken modular flavor symmetries

Tetsutaro Higaki, Tatsuo Kobayashi, Kaito Nasu +1

We study the realization of spontaneous CP violation through moduli stabilization. In modular flavor models, the source of CP violation is the vacuum expectation values of the comp…

hep-ph2024

Moduli stabilization in finite modular symmetric models

Yoshihiko Abe, Komei Goto, Testutaro Higaki +2

We study vacua of moduli potential consisting of multiple contribution of modular forms in a finite modular symmetry. If the potential is given by a single modular form, the Minkow…

hep-ph2023

CP phase in modular flavor models and discrete Froggatt-Nielsen models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu

We study the large mass hierarchy and CP violation in the modular symmetric quark flavor models without fine-tuning. Mass matrices are written in terms of modular forms. Modular fo…

hep-ph2023

modular symmetry in flavor structures: quark flavor models and Siegel modular forms for

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study an approach to construct Siegel modular forms from . Zero-mode wave functions on with magnetic flux background behave Siegel modular forms at the origin. Th…

hep-ph2023

Radiative correction on moduli stabilization in modular flavor symmetric models

Tatsuo Kobayashi, Kaito Nasu, Riku Sakuma +1

We study the radiative corrections to the stabilization of the complex structure modulus in modular flavor symmetric models. We discuss the possibility of obtaining the vacuum…

hep-th2023

Modular symmetry in magnetized torus and orbifold models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study the modular symmetry in magnetized torus and orbifold models. The torus has the modular symmetry . Magnetic flux background brea…

hep-ph2023★ 13 cited

Moduli trapping mechanism in modular flavor symmetric models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +1

We discuss how the moduli in modular flavor symmetric models dynamically select enhanced symmetry points at which the residual modular symmetry renders extra matter fields massless…

hep-th2023★ 7 cited

Zero-modes in magnetized orbifold models through modular symmetry

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study of fermion zero-modes on magnetized orbifolds. In particular, we focus on non-factorizable orbifolds, i.e. and …

hep-ph2023★ 26 cited

Quark mass hierarchies and CP violation in modular symmetric flavor models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study modular symmetric flavor models to realize quark mass hierarchies and mixing angles without fine-tuning. Mass matrices are written in terms of…

hep-ph2023★ 28 cited

Quark hierarchical structures in modular symmetric flavor models at level 6

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

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 poin…

hep-th2023★ 11 cited

Remark on modular weights in low-energy effective field theory from type II string theory

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +3

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/…

hep-th2022★ 10 cited

Number of zero-modes on magnetized orbifolds analyzed by modular transformation

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study fermion zero-mode wavefunctions on orbifold with background magnetic fluxes. The number of zero-modes is analyzed by use of modular transforma…

hep-ph2022★ 2 cited

Modular symmetry of soft supersymmetry breaking terms

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +3

We study the modular symmetry of soft supersymmetry breaking terms. Soft scalar masses and -term coefficients are invariant under the modular symmetry when we regard -term as…

hep-th2022★ 12 cited

Classifications of magnetized and orbifold models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +1

We study constructions and classifications of three-generation models based on magnetized and orbifold as candidates of the compact space. We focus on chiral ferm…

hep-th2022★ 9 cited

Modular symmetry anomaly and non-perturbative neutrino mass terms in magnetized orbifold models

Shota Kikuchi, Tatsuo Kobayashi, Kaito Nasu +2

We study the modular symmetry anomaly in magnetized orbifold models. The non-perturbative effects such as D-brane instanton effects can break tree-level symmetry. We study which pa…

hep-th2021★ 3 cited

Majorana neutrino masses by D-brane instanton effects in magnetized orbifold models

Kouki Hoshiya, Shota Kikuchi, Tatsuo Kobayashi +3

We study Majorana neutrino masses induced by D-brane instanton effects in magnetized orbifold models. We classify possible cases, where neutrino masses can be induced. Three and fo…