23 citations · 51 across the 5 of their papers we have counts for
5 papers
Higher-group symmetry in lattice gauge theories with restricted topological sectors
Motokazu Abe, Naoto Kan, Okuto Morikawa +3
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…
Non-invertible duality defect and non-commutative fusion algebra
Yuta Nagoya, Soichiro Shimamori
We study non-invertible duality symmetries by gauging a diagonal subgroup of a non-anomalous U(1) U(1) global symmetry. In particular, we employ the half-space gauging to…
Non-invertible symmetries and boundaries in four dimensions
Masataka Koide, Yuta Nagoya, Satoshi Yamaguchi
We study quantum field theories with boundary by utilizing non-invertible symmetries. We consider three kinds of boundary conditions of the four dimensional lattice…
Higher-group structure in lattice Abelian gauge theory under instanton-sum modification
Naoto Kan, Okuto Morikawa, Yuta Nagoya +1
We consider the gauge theory on a four-dimensional torus, where the instanton number is restricted to an integral multiple of . This theory possesses the nontrivial highe…
Non-invertible topological defects in 4-dimensional pure lattice gauge theory
Masataka Koide, Yuta Nagoya, Satoshi Yamaguchi
We explore topological defects in the 4-dimensional pure lattice gauge theory. This theory has 1-form center symmetry as well as the Kramers-Wannier…