Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866911045006655488 |
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| author | Jeric, Tim Kobayashi, Tatsuo Nasu, Kaito Takada, Shohei |
| author_facet | Jeric, Tim Kobayashi, Tatsuo Nasu, Kaito Takada, Shohei |
| contents | 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 introduce the $SO(3)$ (or parity) transformations and derive the wave functions under the modular transformation. Additionally, we calculate the Yukawa couplings with consideration for the chirality. Lastly, we briefly review how to construct $T^{4}/\mathbb{Z}_N$ ($N=2,3,4,6$) and $T^6/\mathbb{Z}_{12}$ twisted orbifold. Also, we explicitly analyze the number of the wave functions in $\mathbb{Z}_N$ sectors. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_05645 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models Jeric, Tim Kobayashi, Tatsuo Nasu, Kaito Takada, Shohei High Energy Physics - Theory High Energy Physics - Phenomenology 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 introduce the $SO(3)$ (or parity) transformations and derive the wave functions under the modular transformation. Additionally, we calculate the Yukawa couplings with consideration for the chirality. Lastly, we briefly review how to construct $T^{4}/\mathbb{Z}_N$ ($N=2,3,4,6$) and $T^6/\mathbb{Z}_{12}$ twisted orbifold. Also, we explicitly analyze the number of the wave functions in $\mathbb{Z}_N$ sectors. |
| title | Generation structures and Yukawa couplings in magnetized $T^{2g}/\mathbb{Z}_N$ models |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2507.05645 |