Non-invertible symmetries in one-dimensional quantum lattice models
Appears in collection : 2024 IHES Summer School – Symmetries and Anomalies : a Modern Take
We will study a lattice realisation of the Symmetry Topological Field Theory (SymTFT) picture for one-dimensional quantum models. We will exploit this picture to study lattice models with non-invertible symmetries, discuss generalised gauging, and construct renormalisation group fixed points of gapped symmetric phases.