大阪大学 · 物理学・天文学
Masataka Koide教授の研究室では、4次元の$η_2$格子ゲージ理論を対象に、境界を伴う量子場理論における非可逆的対称性の役割を探究しています。特に、Kramers-Wannier-Wegner（KWW）双対性を実現するトポロジカルなデフェクトや1形式$η_2$中心対称性のデフェクトを構成し、それらの交差関係や境界上の物理的意味を解明しています。この研究は、境界上の量子揺らぎや境界ランゲルギー流の制約を明らかにし、4次元におけるg定理の応用にもつながります。
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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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