糖果派对

Speaker: Apoorv Tiwari (University of Southern Denmark) 

Abstract: It has recently been understood that finite (internal) global symmetries in quantum field theory are describe fusion higher categories, sometimes referred to as global categorical symmetries. In this talk, I will introduce a framework based on Symmetry Topological Field Theory (SymTFT) for characterizing and classifying both gapped and gapless phases, as well as phase transitions in quantum systems with global categorical symmetries. This characterization will be expressed in terms of sets of condensed, confined, and deconfined generalized symmetry charges, evoking concepts familiar from superconductivity. Furthermore, I will demonstrate how the SymTFT data can be transformed into an ultraviolet (UV) lattice model鈥攕uch as an anyon chain model in 1+1 dimensions or a fusion surface model in 2+1 dimensions鈥攖hat realizes these phases and transitions in the infrared (IR) limit.