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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2302.13466 |
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| _version_ | 1866913190649004032 |
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| author | Kan, Naoto Morikawa, Okuto Nagoya, Yuta Wada, Hiroki |
| author_facet | Kan, Naoto Morikawa, Okuto Nagoya, Yuta Wada, Hiroki |
| contents | We consider the $U(1)$ gauge theory on a four-dimensional torus, where the instanton number is restricted to an integral multiple of $p$. This theory possesses the nontrivial higher-group structure, which can be regarded as a generalization of the Green--Schwarz mechanism, between $\mathbb{Z}_q$ $1$-form and $\mathbb{Z}_{pq}$ $3$-form symmetries. Here, $\mathbb{Z}_q$ is a subgroup of the center of~$U(1)$. Following the recent study of the lattice construction of the $U(1)/\mathbb{Z}_q$ principal bundle, we examine how such a structure is realized on the basis of lattice regularization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_13466 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Higher-group structure in lattice Abelian gauge theory under instanton-sum modification Kan, Naoto Morikawa, Okuto Nagoya, Yuta Wada, Hiroki High Energy Physics - Theory High Energy Physics - Lattice We consider the $U(1)$ gauge theory on a four-dimensional torus, where the instanton number is restricted to an integral multiple of $p$. This theory possesses the nontrivial higher-group structure, which can be regarded as a generalization of the Green--Schwarz mechanism, between $\mathbb{Z}_q$ $1$-form and $\mathbb{Z}_{pq}$ $3$-form symmetries. Here, $\mathbb{Z}_q$ is a subgroup of the center of~$U(1)$. Following the recent study of the lattice construction of the $U(1)/\mathbb{Z}_q$ principal bundle, we examine how such a structure is realized on the basis of lattice regularization. |
| title | Higher-group structure in lattice Abelian gauge theory under instanton-sum modification |
| topic | High Energy Physics - Theory High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2302.13466 |