15 papers
Gapless Phases in (2+1)d with Non-Invertible Symmetries
Lakshya Bhardwaj, Yuhan Gai, Sheng-Jie Huang +4
The study of gapless phases with categorical (or so-called non-invertible) symmetries is a formidable task, in particular in higher than two space-time dimensions. In this paper we…
(2+1)d Lattice Models and Tensor Networks for Gapped Phases with Categorical Symmetry
Kansei Inamura, Sheng-Jie Huang, Apoorv Tiwari +1
Gapped phases in 2+1 dimensional quantum field theories with fusion 2-categorical symmetries were recently classified and characterized using the Symmetry Topological Field Theory…
Categorical Symmetries in Spin Models with Atom Arrays
Alison Warman, Fan Yang, Apoorv Tiwari +2
Categorical symmetries have recently been shown to generalize the classification of phases of matter, significantly broadening the traditional Landau paradigm. To test these predic…
Hasse Diagrams for Gapless SPT and SSB Phases with Non-Invertible Symmetries
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +1
We discuss (1+1)d gapless phases with non-invertible global symmetries, also referred to as categorical symmetries. This includes gapless phases showing properties analogous to gap…
Lattice Models for Phases and Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Non-invertible categorical symmetries have emerged as a powerful tool to uncover new beyond-Landau phases of matter, both gapped and gapless, along with second order phase transiti…
Generalized Charges, Part II: Non-Invertible Symmetries and the Symmetry TFT
Lakshya Bhardwaj, Sakura Schafer-Nameki
Consider a d-dimensional quantum field theory (QFT) , with a generalized symmetry , which may or may not be invertible. We study the action of $\mathcal{…