Speaker
Description
Given a quantum field theory with a global symmetry, it is important to understand how the various observables organize into representations of the symmetry. In this talk, we focus on 2d conformal field theories with non-invertible global symmetries described by fusion categories. We will discuss how the boundary local operators connecting two potentially different conformal boundary conditions organize themselves under the action of non-invertible symmetries, using 3d topological field theory techniques. We then explain how this can be used to compute the sub-leading constant contribution to the non-invertible symmetry-resolved entanglement entropy of a single interval, which is somewhat analogous to the topological entanglement entropy of TQFTs.
