The University of Osaka · Physics and Astronomy
Professor Masataka Koide's research lab specializes in theoretical high-energy and statistical field theory, with a focus on non-invertible symmetries, topological defects, and duality symmetries in lattice gauge theories. The lab investigates the role of Kramers-Wannier-Wegner (KWW) duality and 1-form center symmetries in four-dimensional $bZ_2$ lattice gauge theories, particularly at critical points, to understand boundary conditions, topological defect junctions, and renormalization group flows. A central theme is the construction and classification of non-invertible topological defects and their implications for quantum field theory and condensed matter systems.
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We study quantum field theories with boundaries by utilizing noninvertible symmetries. We consider three kinds of boundary conditions of the four dimensional ${\mathbb{Z}}_{2}$ lattice gauge theory at the critical point as examples. The weights of the elements on the boundary are determined so that these boundary conditions are related by the Kramers-Wannier-Wegner (KWW) duality. In other words, it is required that the KWW duality defects ending on the boundary are topological. Moreover, we obta
We explore topological defects in the 4-dimensional pure $\mathbb{Z}_2$ lattice gauge theory. This theory has 1-form $\mathbb{Z}_{2}$ center symmetry as well as the Kramers-Wannier-Wegner (KWW) duality. We construct the KWW duality topological defects in the similar way to that constructed by Aasen, Mong, Fendley arXiv:1601.07185 for the 2-dimensional Ising model. These duality defects turn out to be non-invertible. We also construct the 1-form $\mathbb{Z}_{2}$ symmetry defects as well as the ju
We study quantum field theories with boundary by utilizing non-invertible symmetries. We consider three kinds of boundary conditions of the four dimensional $\mathbb{Z}_2$ lattice gauge theory at the critical point as examples. The weights of the elements on the boundary is determined so that these boundary conditions are related by the Kramers-Wannier-Wegner (KWW) duality. In other words, it is required that the KWW duality defects ending on the boundary is topological. Moreover, we obtain the
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