Flavor symmetries from modular subgroups in magnetized compactifications
Abstract We study the flavor structures of zero-modes, which are originated from the modular symmetry on T 1 2 × T 2 2 $$ {T}_1^2\times {T}_2^2 $$ and its orbifold with magnetic fluxes. We introduce the constraint on the moduli parameters by τ 2 = Nτ 1, where τ i denotes the complex structure moduli...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)128 |
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| author | Tatsuo Kobayashi Kaito Nasu Ryusei Nishida Hajime Otsuka Shohei Takada |
| author_facet | Tatsuo Kobayashi Kaito Nasu Ryusei Nishida Hajime Otsuka Shohei Takada |
| author_sort | Tatsuo Kobayashi |
| collection | DOAJ |
| description | Abstract We study the flavor structures of zero-modes, which are originated from the modular symmetry on T 1 2 × T 2 2 $$ {T}_1^2\times {T}_2^2 $$ and its orbifold with magnetic fluxes. We introduce the constraint on the moduli parameters by τ 2 = Nτ 1, where τ i denotes the complex structure moduli on T i 2 $$ {T}_i^2 $$ . Such a constraint can be derived from the moduli stabilization. The modular symmetry of T 1 2 × T 2 2 $$ {T}_1^2\times {T}_2^2 $$ is SL 2 ℤ τ 1 × SL 2 ℤ τ 2 ⊂ Sp 4 ℤ $$ \textrm{SL}{\left(2,\mathbb{Z}\right)}_{\tau_1}\times \textrm{SL}{\left(2,\mathbb{Z}\right)}_{\tau_2}\subset \textrm{Sp}\left(4,\mathbb{Z}\right) $$ and it is broken to Γ0(N) × Γ0(N) by the moduli constraint. The wave functions represent their covering groups. We obtain various flavor groups in these models. |
| format | Article |
| id | doaj-art-2fee1b4e2b9a430ba9e99418a3608085 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-2fee1b4e2b9a430ba9e99418a36080852025-01-05T12:07:02ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241212010.1007/JHEP12(2024)128Flavor symmetries from modular subgroups in magnetized compactificationsTatsuo Kobayashi0Kaito Nasu1Ryusei Nishida2Hajime Otsuka3Shohei Takada4Department of Physics, Hokkaido UniversityDepartment of Physics, Hokkaido UniversityDepartment of Physics, Hokkaido UniversityDepartment of Physics, Kyushu UniversityDepartment of Physics, Hokkaido UniversityAbstract We study the flavor structures of zero-modes, which are originated from the modular symmetry on T 1 2 × T 2 2 $$ {T}_1^2\times {T}_2^2 $$ and its orbifold with magnetic fluxes. We introduce the constraint on the moduli parameters by τ 2 = Nτ 1, where τ i denotes the complex structure moduli on T i 2 $$ {T}_i^2 $$ . Such a constraint can be derived from the moduli stabilization. The modular symmetry of T 1 2 × T 2 2 $$ {T}_1^2\times {T}_2^2 $$ is SL 2 ℤ τ 1 × SL 2 ℤ τ 2 ⊂ Sp 4 ℤ $$ \textrm{SL}{\left(2,\mathbb{Z}\right)}_{\tau_1}\times \textrm{SL}{\left(2,\mathbb{Z}\right)}_{\tau_2}\subset \textrm{Sp}\left(4,\mathbb{Z}\right) $$ and it is broken to Γ0(N) × Γ0(N) by the moduli constraint. The wave functions represent their covering groups. We obtain various flavor groups in these models.https://doi.org/10.1007/JHEP12(2024)128Discrete SymmetriesFlavour Symmetries |
| spellingShingle | Tatsuo Kobayashi Kaito Nasu Ryusei Nishida Hajime Otsuka Shohei Takada Flavor symmetries from modular subgroups in magnetized compactifications Journal of High Energy Physics Discrete Symmetries Flavour Symmetries |
| title | Flavor symmetries from modular subgroups in magnetized compactifications |
| title_full | Flavor symmetries from modular subgroups in magnetized compactifications |
| title_fullStr | Flavor symmetries from modular subgroups in magnetized compactifications |
| title_full_unstemmed | Flavor symmetries from modular subgroups in magnetized compactifications |
| title_short | Flavor symmetries from modular subgroups in magnetized compactifications |
| title_sort | flavor symmetries from modular subgroups in magnetized compactifications |
| topic | Discrete Symmetries Flavour Symmetries |
| url | https://doi.org/10.1007/JHEP12(2024)128 |
| work_keys_str_mv | AT tatsuokobayashi flavorsymmetriesfrommodularsubgroupsinmagnetizedcompactifications AT kaitonasu flavorsymmetriesfrommodularsubgroupsinmagnetizedcompactifications AT ryuseinishida flavorsymmetriesfrommodularsubgroupsinmagnetizedcompactifications AT hajimeotsuka flavorsymmetriesfrommodularsubgroupsinmagnetizedcompactifications AT shoheitakada flavorsymmetriesfrommodularsubgroupsinmagnetizedcompactifications |