Satoshi Yamaguchi

Abstract We explore topological defects in the 4D pure $\mathbb {Z}_2$ lattice gauge theory. This theory has 1-form $\mathbb {Z}_{2}$ center symmetry as well as Kramers–Wannier–Wegner (KWW) duality. We construct the KWW duality topological defects in a similar way to those constructed by Aasen et al. [J. Phys. A 49, 354001 (2016)] for the 2D Ising model. These duality defects turn out to be non-invertible. We also construct 1-form $\mathbb {Z}_{2}$ symmetry defects as well as the junctions betwe

Abstract We consider the (4 + 1)D topologically massive tensor gauge theory. This theory is an analog of the (2 + 1)D topologically massive Maxwell–Chern–Simons theory. If the space has a boundary, we find that a (3 + 1)D gapless theory appears at the boundary. This gapless theory is a chiral version of the (3 + 1)D φ theory. This gapless theory is protected by the anomaly inflow mechanism for subsystem symmetry. We also consider the corner of our topologically massive tensor gauge theory, and f

We apply the framework of Rychkov and Tan [S. Rychkov and Z. M. Tan, J. Phys. A 48, 29FT01 (2015)] to the codimension two twist defect at the Wilson–Fisher fixed point in 4−ϵ dimensions. We obtain the scaling dimensions of the operators on the defect up to the lowest nontrivial order in the ϵ-expansion without using Feynman diagram computation. Our results agree with the known results.

Abstract We propose a supersymmetric quantum field theory with exotic symmetry related to fracton phases. We use superfield formalism and write down the action of a supersymmetric version of the $\varphi$ theory in $3+1$ dimensions. It contains a large number of ground states due to the fermionic higher pole subsystem symmetry. Its residual entropy is proportional to the area instead of the volume. This theory has a self-duality similar to that of the $\varphi$ theory. We also write down the act