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20182026
most citedFinite modular subgroups for fermion mass matrices and baryon/lepton number violation

159 citations · 780 across the 34 of their papers we have counts for

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21 papers · 1 filter

hep-th2026

Massive modes on magnetized blow-up manifold of

Tatsuo Kobayashi, Hajime Otsuka, Hikaru Uchida

We study massive modes on a magnetized blow-up manifold of . The blow-up manifold can be constructed by appropriately replacing orbifold singular points with a pa…

hep-th2025

Modular weights of wave functions on magnetized torus

Tim Jeric, Tatsuo Kobayashi, Hajime Otsuka +2

We study the origin of modular weights of wave functions in magnetized models. It is explicitly demonstrated that the modular weights of the wave functions on magnetized $T…

hep-th2024

Modular symmetry of localized modes

Tatsuo Kobayashi, Hajime Otsuka, Shohei Takada +1

We study the modular symmetry of localized modes on fixed points of orbifold. First, we find that the localized modes with even (odd) modular weight generally ha…

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-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-th2023

Flavor structure in magnetized orbifold and blow-up manifold compactification

Hikaru Uchida

As the effective field theory of the superstring theory, ten-dimensional supersymmetric Yang-Mills theory is induced. We consider the ten-dimensional space-time ${\cal…

hep-th2023★ 2 cited

Three-generation solutions of equations of motion in heterotic supergravity

Maki Takeuchi, Takanao Tsuyuki, Hikaru Uchida

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 con…

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★ 2 cited

Zero-mode wave functions by localized gauge fluxes

Tatsuo Kobayashi, Hajime Otsuka, Makoto Sakamoto +3

We study chiral zero-mode wave functions on blow-up manifolds of orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transform…

hep-th2022★ 12 cited

Index theorem on magnetized blow-up manifold of

Tatsuo Kobayashi, Hajime Otsuka, Makoto Sakamoto +3

We investigate blow-up manifolds of orbifolds with magnetic flux . Since the blow-up manifolds have no singularities, we can apply the Atiyah-S…

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-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★ 10 cited

Anomaly of non-Abelian discrete symmetries

Tatsuo Kobayashi, Hikaru Uchida

We study anomalies of non-Abelian discrete symmetries; which part of non-Abelian group is anomaly free and which part can be anomalous. It is found that the anomaly-free elements o…

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…

hep-th2021★ 57 cited

Modular flavor symmetries of three-generation modes on magnetized toroidal orbifolds

Shota Kikuchi, Tatsuo Kobayashi, Hikaru Uchida

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…

hep-th2020★ 22 cited

Classification of three generation models by orbifolding magnetized

Kouki Hoshiya, Shota Kikuchi, Tatsuo Kobayashi +2

We study orbifolding by the permutaion of with magnetic fluxes and its twisted orbifolds. We classify the possible three generation…

hep-th2020★ 88 cited

Modular symmetry by orbifolding magnetized : realization of double cover of

Shota Kikuchi, Tatsuo Kobayashi, Hajime Otsuka +2

We study the modular symmetry of zero-modes on and orbifold compactifications with magnetic fluxes, , where modulus parameters are identified. This id…

hep-th2020★ 97 cited

Revisiting modular symmetry in magnetized torus and orbifold compactifications

Shota Kikuchi, Tatsuo Kobayashi, Shintaro Takada +2

We study the modular symmetry in and orbifold comfactifications with magnetic fluxes. There are zero-modes on with the magnetic flux . Their wavefunctions as w…

hep-th2019★ 51 cited

Modular symmetry anomaly in magnetic flux compactification

Yuki Kariyazono, Tatsuo Kobayashi, Shintaro Takada +2

We study modular symmetry anomalies in four-dimensional low-energy effective field theory, which is derived from six-dimensional supersymmetric Yang-Mills theory by magnetic…

hep-th2019★ 11 cited

Wavefunctions and Yukawa Couplings on Resolutions of Orbifolds

Tatsuo Kobayashi, Hajime Otsuka, Hikaru Uchida

We propose matter wavefunctions on resolutions of singularities with constant magnetic fluxes. In the blow-down limit, the obtained wavefunctions of chiral zero-…