14 citations · 34 across the 15 of their papers we have counts for
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Lattice chiral non-Abelian gauge symmetry via bosonization
Soma Onoda
A central issue in lattice formulations of chiral gauge theories is how the anomaly cancellation mechanism of the continuum theory can be realized at finite lattice spacing. In the…
't Hooft line in 4D lattice gauge theory and a microscopic description of dyon's statistics
Soma Onoda
In lattice gauge theory with compact gauge field variables, an introduction of the gauge field topology requires the assumption that lattice field configurations are sufficiently s…
Novel Lattice Formulation of 2D Chiral Gauge Theory via Bosonization
Okuto Morikawa, Soma Onoda, Hiroshi Suzuki
Recently, lattice formulations of 2D Abelian chiral gauge theory have been constructed based on Abelian bosonization. It is remarkable about these 2D lattice formulations that they…
Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry
Yamato Honda, Soma Onoda, Hiroshi Suzuki
We investigate the non-invertible symmetry associated with chiral symmetry in axion quantum electrodynamics (QED) using the modified Villain formulation. In axion QED, it is known…
Action of the axial non-invertible symmetry on the 't~Hooft line operator: A simple argument
Yamato Honda, Soma Onoda, Hiroshi Suzuki
Employing the modified Villain lattice formulation of the axion quantum electrodynamics, we present an alternative and much simpler derivation of the conclusion of~Ref.~\cite{Honda…
Action of the axial non-invertible symmetry on the 't~Hooft line operator: A lattice gauge theory study
Yamato Honda, Soma Onoda, Hiroshi Suzuki
We study how the symmetry operator of the axial non-invertible symmetry acts on the 't~Hooft line operator in the gauge theory by employing the modified Villain-type…
Yet another lattice formulation of 2D chiral gauge theory via bosonization
Okuto Morikawa, Soma Onoda, Hiroshi Suzuki
Recently, lattice formulations of Abelian chiral gauge theory in two dimensions have been devised on the basis of the Abelian bosonization. A salient feature of these 2D lattice fo…
Lattice realization of the axial noninvertible symmetry
Yamato Honda, Okuto Morikawa, Soma Onoda +1
In lattice gauge theory with compact variables, we construct the symmetry operator, i.e.\ the topological defect, for the axial noninvertible symmetry. This re…
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…
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…