부산대학교 도서관

This document is a correction notice for an article titled "Higher-group structure in lattice Abelian gauge theory under instanton-sum modification." The corrections made in this erratum are related to equations in the continuum theory discussed in Section 2. The original discussions falsely attributed the periodicity of the compact scalar to the 2π periodicity, and the definition of the 4-form gauge field was incorrect. However, these modifications do not affect any conclusions in the lattice theory. The erratum also introduces new equations and conditions to maintain the periodicity of certain variables and to admit nontrivial configurations. The authors express gratitude to Ryo Yokokura for discussions and apologize for an error in the text. [Extracted from the article]