Modular symmetry of localized modes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912188855222272 |
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| author | Kobayashi, Tatsuo Otsuka, Hajime Takada, Shohei Uchida, Hikaru |
| author_facet | Kobayashi, Tatsuo Otsuka, Hajime Takada, Shohei Uchida, Hikaru |
| contents | We study the modular symmetry of localized modes on fixed points of $T^2/\mathbb{Z}_2$ orbifold. First, we find that the localized modes with even (odd) modular weight generally have $Δ(6n^2)$ ($Δ'(6n^2)$) modular flavor symmetry. Moreover, when we consider an additional Ansatz, the localized modes with even (odd) modular weight generally enjoy $S_3$ ($S'_4$) modular flavor symmetry, and we show the concrete wave functions of the localized modes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_05788 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Modular symmetry of localized modes Kobayashi, Tatsuo Otsuka, Hajime Takada, Shohei Uchida, Hikaru High Energy Physics - Theory High Energy Physics - Phenomenology We study the modular symmetry of localized modes on fixed points of $T^2/\mathbb{Z}_2$ orbifold. First, we find that the localized modes with even (odd) modular weight generally have $Δ(6n^2)$ ($Δ'(6n^2)$) modular flavor symmetry. Moreover, when we consider an additional Ansatz, the localized modes with even (odd) modular weight generally enjoy $S_3$ ($S'_4$) modular flavor symmetry, and we show the concrete wave functions of the localized modes. |
| title | Modular symmetry of localized modes |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2410.05788 |