A bstract We propose an effective field theory for branes with higher-form symmetry as a
generalization of ordinary Landau theory, which is an extension of the previous work by …

Topology and generalized symmetries in the SU (N)/ZN gauge theory are considered in the
continuum and the lattice. Starting from the SU (N) gauge theory with the't Hooft twisted …

In U (1) lattice gauge theory with compact U (1) variables, we construct the symmetry
operator, ie the topological defect, for the axial U (1) noninvertible symmetry. This requires a …

We study a higher group analog of the Weyl symmetry in four-dimensional quantum field
theories. A typical example is that the modified transformation of the 2-form background …

In this article, we analyze a magnetic monopole in topological insulators. The monopole
obtain a fractional electric charge because of the Witten effect. We consider this system with …

We discuss general aspects of charge conjugation symmetry in Euclidean lattice field
theories, including its dynamical gauging. Our main focus is $ O (2)= U (1)\rtimes\mathbb {Z} …

We propose a field theory of closed $ p $-brane $ C_p^{} $ interacting with a $(p+ 1) $-form
gauge field $ A_ {p+ 1}^{} $. This is a generalization of the Ginzburg-Landau theory (Abelian …

We analyze higher-group structure of a 6d model coupled with a self-dual 2-form gauge
field. This model is defined from 6d axion-electrodynamics with a 1-form Chern-Weil (CW) …

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 …

A magnetic monopole has been intensively studied in particle physics. In Maxwell theory,
the monopole can be seen as a heavy point-like object with magnetic charge, ie, the Dirac …