Emergent higher-form symmetry from type IIB superstring theory
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866914244066279424 |
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| author | Kan, Naoto Kawahira, Masashi Wada, Hiroki |
| author_facet | Kan, Naoto Kawahira, Masashi Wada, Hiroki |
| contents | We investigate a higher-form symmetry in type IIB superstring theory, which possesses an ${\rm SL}(2,\mathbb{Z})$ symmetry. From the point of view of the low-energy effective field theory, the ${\rm SL}(2,\mathbb{Z})$ symmetry is treated as a gauge symmetry. Hence, an $8$-form global symmetry $\mathbb{Z}_{12}^{[8]}$ emerges as a quantum symmetry. In this paper, we present an explicit construction of the topological operator associated with the $\mathbb{Z}_{12}^{[8]}$ symmetry. In this construction, the discriminant $Δ(τ)$ plays a central role. As a result, it becomes manifest that $\mathbb{Z}_{12}^{[8]}$ is the solitonic symmetry of $7$-branes. Furthermore, taking into account the extensions of the duality group, we also discuss what global symmetries emerge when considering not ${\rm SL}(2,\mathbb{Z})$ but ${\rm Mp}(2,\mathbb{Z})$, ${\rm GL}(2,\mathbb{Z})$, and ${\rm Pin}^+({\rm GL}(2,\mathbb{Z}))={\rm GL}^+(2,\mathbb{Z})$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_10365 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Emergent higher-form symmetry from type IIB superstring theory Kan, Naoto Kawahira, Masashi Wada, Hiroki High Energy Physics - Theory We investigate a higher-form symmetry in type IIB superstring theory, which possesses an ${\rm SL}(2,\mathbb{Z})$ symmetry. From the point of view of the low-energy effective field theory, the ${\rm SL}(2,\mathbb{Z})$ symmetry is treated as a gauge symmetry. Hence, an $8$-form global symmetry $\mathbb{Z}_{12}^{[8]}$ emerges as a quantum symmetry. In this paper, we present an explicit construction of the topological operator associated with the $\mathbb{Z}_{12}^{[8]}$ symmetry. In this construction, the discriminant $Δ(τ)$ plays a central role. As a result, it becomes manifest that $\mathbb{Z}_{12}^{[8]}$ is the solitonic symmetry of $7$-branes. Furthermore, taking into account the extensions of the duality group, we also discuss what global symmetries emerge when considering not ${\rm SL}(2,\mathbb{Z})$ but ${\rm Mp}(2,\mathbb{Z})$, ${\rm GL}(2,\mathbb{Z})$, and ${\rm Pin}^+({\rm GL}(2,\mathbb{Z}))={\rm GL}^+(2,\mathbb{Z})$. |
| title | Emergent higher-form symmetry from type IIB superstring theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2509.10365 |