https://doi.org/10.1140/epjc/s10052-023-11616-6
Regular Article - Theoretical Physics
Higher-group structure in lattice Abelian gauge theory under instanton-sum modification
Department of Physics, Osaka University, 560-0043, Toyonaka, Osaka, Japan
b
o-morikawa@het.phys.sci.osaka-u.ac.jp
Received:
5
March
2023
Accepted:
15
May
2023
Published online:
8
June
2023
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 
1-form and 
3-form symmetries. Here, is a subgroup of the center of U(1). Following the recent study of the lattice construction of the 
principal bundle, we examine how such a structure is realized on the basis of lattice regularization.
An erratum to this article is available online at https://doi.org/10.1140/epjc/s10052-024-12386-5.
© The Author(s) 2023
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