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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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP12(2024)128 |
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| Summary: | 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. |
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| ISSN: | 1029-8479 |