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

Author:

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

Keyword:

High Energy Physics - Lattice, High Energy Physics - Lattice (hep-lat), High Energy Physics - Theory (hep-th)

journal:

KYUSHU-HET-269, OU-HET-1205

date:

2023-10-02 16:00:00

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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