18 citations · 143 across the 36 of their papers we have counts for
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Lattice construction of mixed 't Hooft anomaly with higher-form symmetry
Motokazu Abe, Okuto Morikawa, Soma Onoda +2
In this talk, we give the lattice regularized formulation of the mixed 't Hooft anomaly between the -form symmetry and the periodicity for d pure Yang-Mill…
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…
Magnetic operators in 2D compact scalar field theories on the lattice
Motokazu Abe, Okuto Morikawa, Soma Onoda +2
In lattice compact gauge theories, we must impose the admissibility condition to have well-defined topological sectors. The admissibility condition, however, usually forbids the pr…
Note on lattice description of generalized symmetries in gauge theories
Motokazu Abe, Okuto Morikawa, Soma Onoda
Topology and generalized symmetries in the gauge theory are considered in the continuum and the lattice. Starting from the gauge theory with the 't~Hoo…
Topology of lattice gauge theories coupled with -form gauge fields
Motokazu Abe, Okuto Morikawa, Soma Onoda +2
We extend the definition of Lüscher's lattice topological charge to the case of d gauge fields coupled with -form gauge fields. This result is achieved…
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…