AbstractNon-invertible symmetry is a type of symmetry that does not obey any group law, and their recent discovery in 4D led to significant research interest both formally and phenomenologically. In this talk, we present a new general perspective on constructing non-invertible duality symmetries in the language of relative and absolute QFT, which not only reproduces non-invertible duality symme...
AbstractI will describe a uniform construction to gauge a discrete invertible symmetry S in possibly non-topological (D+1)-dimensional quantum systems with higher-categorical and possibly non-invertible symmetries. The symmetry in the theory obtained after gauging contains a sub-category of universal topological defects, which we term as Theta defects. These defects are universal in the sense t...