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Related papers: $Z_N$ twisted orbifold models with magnetic flux

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We study constructions and classifications of three-generation models based on magnetized $T^4$ and $T^4/{Z}_2$ orbifold as candidates of the compact space. We focus on chiral fermion zero-mode wave functions in the extra dimensions.…

High Energy Physics - Theory · Physics 2022-09-14 Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Hikaru Uchida

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…

High Energy Physics - Theory · Physics 2023-06-16 Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada , Hikaru Uchida

We propose a mechanism to obtain the generation of matter in the standard model. We start from the analysis of the $T^2/Z_N$ shifted orbifold with magnetic flux, which imposes a $Z_N$ symmetry on torus. We also consider several orbifolds…

High Energy Physics - Theory · Physics 2013-04-17 Yukihiro Fujimoto , Tatsuo Kobayashi , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto

We classify the combinations of parameters which lead three generations of quarks and leptons in the framework of magnetized twisted orbifolds on $T^2/Z_2$, $T^2/Z_3$, $T^2/Z_4$ and $T^2/Z_6$ with allowing nonzero discretized Wilson line…

High Energy Physics - Phenomenology · Physics 2015-06-23 Tomo-hiro Abe , Yukihiro Fujimoto , Tatsuo Kobayashi , Takashi Miura , Kenji Nishiwaki , Makoto Sakamoto , Yoshiyuki Tatsuta

Magnetized orbifolds play an important role in compactifications of string theories and higher-dimensional field theories to four dimensions. Magnetic flux leads to chiral fermions, it can be a source of supersymmetry breaking and it is an…

High Energy Physics - Theory · Physics 2019-02-20 Wilfried Buchmuller , Markus Dierigl , Yoshiyuki Tatsuta

We study torus/orbifold models with magnetic flux and Wilson line background. The number of zero-modes and their profiles depend on those backgrounds. That has interesting implications from the viewpoint of particle phenomenology.

High Energy Physics - Theory · Physics 2009-12-30 Hiroyuki Abe , Kang-Sin Choi , Tatsuo Kobayashi , Hiroshi Ohki

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…

High Energy Physics - Theory · Physics 2023-08-16 Shota Kikuchi , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada , Hikaru Uchida

We study chiral zero-mode wave functions on blow-up manifolds of $T^2/Z_N$ orbifolds with both bulk and localized magnetic flux backgrounds. We introduce a singular gauge transformation in order to remove $Z_N$ phases for $Z_N$ twisted…

High Energy Physics - Theory · Physics 2022-11-10 Tatsuo Kobayashi , Hajime Otsuka , Makoto Sakamoto , Maki Takeuchi , Yoshiyuki Tatsuta , Hikaru Uchida

We study $T^2/Z_N$ orbifold models with magnetic fluxes. We propose a systematic way to analyze the number of zero-modes and their wavefunctions by use of modular transformation. Our results are consistent with the previous results, and our…

High Energy Physics - Theory · Physics 2017-11-22 Tatsuo Kobayashi , Satoshi Nagamoto

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…

High Energy Physics - Theory · Physics 2021-11-30 Shota Kikuchi , Tatsuo Kobayashi , Hikaru Uchida

We consider six-dimensional supergravity compactified on orbifolds with Wilson lines and bulk flux. Torus Wilson lines are decomposed into Wilson lines around the orbifold fixed points, and twisted boundary conditions of matter fields are…

High Energy Physics - Theory · Physics 2015-12-02 Wilfried Buchmuller , Markus Dierigl , Fabian Ruehle , Julian Schweizer

We study fermion zero-mode wave functions with various chiralities in magnetized $T^{2g}$, $(g=2,3)$ torus. First, we consider the wave functions satisfying the Dirac equation and the boundary conditions on the magnetized torus. Second, we…

High Energy Physics - Theory · Physics 2025-07-09 Tim Jeric , Tatsuo Kobayashi , Kaito Nasu , Shohei Takada

The first particle physics observable whose origin may be sought in string theory is the triple replication of the matter generations. The class of Z2XZ2 orbifolds of six dimensional compactified tori, that have been most widely studied in…

High Energy Physics - Theory · Physics 2010-04-05 A. E. Faraggi , C. Kounnas , S. E. M. Nooij , J. Rizos

We study orbifolding by the $\mathbb{Z}_2^{\rm (per)}$ permutaion of $T^2_1 \times T^2_2$ with magnetic fluxes and its twisted orbifolds. We classify the possible three generation models which lead to non-vanishing Yukawa couplings on the…

High Energy Physics - Theory · Physics 2021-04-14 Kouki Hoshiya , Shota Kikuchi , Tatsuo Kobayashi , Yuya Ogawa , Hikaru Uchida

We study (4+2n)-dimensional N=1 super Yang-Mills theory on the orbifold background with non-vanishing magnetic flux. In particular, we study zero-modes of spinor fields. The flavor structure of our models is different from one in magnetized…

High Energy Physics - Theory · Physics 2010-02-03 Hiroyuki Abe , Tatsuo Kobayashi , Hiroshi Ohki

We consider a $U(1)$ gauge theory on $M^4\times T^4$ with background magnetic fluxes. We show that a theory including arbitrary fluxes can always be studied in a theory involving only diagonal fluxes by appropriate coordinate…

High Energy Physics - Theory · Physics 2024-09-04 Takuya Hirose , Hajime Otsuka , Koji Tsumura , Yoshiki Uchida

We study deformations of $Z_2 \times Z_2$ (shift-)orientifolds in four dimensions in the presence of both uniform Abelian internal magnetic fields and quantized NS-NS $B_{ab}$ backgrounds, that are shown to be equivalent to asymmetric…

High Energy Physics - Theory · Physics 2009-11-10 Marianna Larosa , Gianfranco Pradisi

We consider general field theories in six dimensions, with two of the dimensions compactified on a T_{2}/Z_{4} orbifold. Six-dimensional Weyl fermions propagating on this background give rise to a chiral zero-mode, which makes them…

High Energy Physics - Phenomenology · Physics 2009-11-11 Eduardo Ponton , Lin Wang

We discuss heterotic strings on Z_2 x Z_2 orbifolds of non factorisable six-tori. Although the number of fixed tori is reduced as compared to the factorisable case, Wilson lines are still needed for the construction of three generation…

High Energy Physics - Theory · Physics 2009-11-11 Alon E. Faraggi , Stefan Forste , Cristina Timirgaziu

We study the modular symmetry in $T^2$ and orbifold comfactifications with magnetic fluxes. There are $|M|$ zero-modes on $T^2$ with the magnetic flux $M$. Their wavefunctions as well as massive modes behave as modular forms of weight $1/2$…

High Energy Physics - Theory · Physics 2020-11-18 Shota Kikuchi , Tatsuo Kobayashi , Shintaro Takada , Takuya H. Tatsuishi , Hikaru Uchida
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