arXiv
Open Access
2023
Higher-group structure in lattice Abelian gauge theory under instanton-sum modification
Naoto Kan
Okuto Morikawa
Yuta Nagoya
Hiroki Wada
Abstrak
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.
Penulis (4)
N
Naoto Kan
O
Okuto Morikawa
Y
Yuta Nagoya
H
Hiroki Wada
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2023
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- en
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- arXiv
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- Open Access ✓