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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2604.06635 |
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| _version_ | 1866914456074715136 |
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| author | Kobayashi, Tatsuo Otsuka, Hajime Uchida, Hikaru |
| author_facet | Kobayashi, Tatsuo Otsuka, Hajime Uchida, Hikaru |
| contents | We study massive modes on a magnetized blow-up manifold of $T^2/\mathbb{Z}_N$. The blow-up manifold can be constructed by appropriately replacing orbifold singular points with a part of $S^2$. To ensure a smooth connection between the massive modes on magnetized $T^2/\mathbb{Z}_N$ orbifold and those on magnetized $S^2$, it is required that not only the total magnetic flux as well as the total curvature but also the effective magnetic flux on the connected line remain invariant under the blow-up procedure. Furthermore, we find that the number of the localized modes at each orbifold singular point increases by one for each unit increment of the mass level. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_06635 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$ Kobayashi, Tatsuo Otsuka, Hajime Uchida, Hikaru High Energy Physics - Theory High Energy Physics - Phenomenology We study massive modes on a magnetized blow-up manifold of $T^2/\mathbb{Z}_N$. The blow-up manifold can be constructed by appropriately replacing orbifold singular points with a part of $S^2$. To ensure a smooth connection between the massive modes on magnetized $T^2/\mathbb{Z}_N$ orbifold and those on magnetized $S^2$, it is required that not only the total magnetic flux as well as the total curvature but also the effective magnetic flux on the connected line remain invariant under the blow-up procedure. Furthermore, we find that the number of the localized modes at each orbifold singular point increases by one for each unit increment of the mass level. |
| title | Massive modes on magnetized blow-up manifold of $T^2/\mathbb{Z}_N$ |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2604.06635 |