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arXiv · 2310.01787

Higher-group symmetry in lattice gauge theories with restricted topological sectors

Motokazu Abe·Naoto Kan·Okuto Morikawa·Yuta Nagoya·Soma Onoda·Hiroki Wada
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Abstract

In this paper, we give a brief overview of generalized symmetries from the point of view of the lattice regularization as a fully regularized framework. At first, we illustrate the generalization of 't~Hooft anomaly matching for higher-form symmetries. Furthermore the main interest goes to the higher-group symmetry. In particular, we find that the so-called $4$-group appears in the lattice Yang--Mills theory under modification of instanton sum.

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Motokazu Abe, Naoto Kan, Okuto Morikawa, Yuta Nagoya, Soma Onoda, Hiroki Wada. 2023-10-03. Higher-group symmetry in lattice gauge theories with restricted topological sectors. https://arxiv.org/abs/2310.01787

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