May 16, 2023

Speaker: Clement Delcamp (Ghent)

Title: Higher categorical symmetries and gauging on the lattice

Abstract: Higher categorical symmetries have received widespread attention in recent years. Though exotic, such generalised symmetries have been shown to naturally arise as dual symmetries upon gauging invertible symmetries. Given an arbitrary two-dimensional lattice model with an ordinary symmetry, I will present an approach to perform the (twisted) gauging of any of its sub-symmetries and study the resulting symmetry structure. Specialising to certain finite group generalisations of the (2+1)d transverse-field Ising model, I will explicitly construct lattice symmetry operators organised into fusion 2-categories of higher representations of higher groups.