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Boundary SymTFT
Lakshya Bhardwaj, Christian Copetti, Daniel Pajer +1
We study properties of boundary conditions (BCs) in theories with categorical (or non-invertible) symmetries. We describe how the transformation properties, or (generalized) charge…
Fusion 3-Categories for Duality Defects
Lakshya Bhardwaj, Thibault Décoppet, Sakura Schafer-Nameki +1
We study the fusion 3-categorical symmetries for quantum theories in (3+1)d with self-duality defects. Such defects have been realized physically by half-space gauging in theories…
SymTFT for (3+1)d Gapless SPTs and Obstructions to Confinement
Andrea Antinucci, Christian Copetti, Sakura Schafer-Nameki
We study gapless phases in (3+1)d in the presence of 1-form and non-invertible duality symmetries. Using the Symmetry Topological Field Theory (SymTFT) approach, we classify the ga…
Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I
Lakshya Bhardwaj, Daniel Pajer, Sakura Schafer-Nameki +3
We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped phases in (2+1)d for a class of categorical symmetries, referred to as being of bosonic type. The…
Illustrating the Categorical Landau Paradigm in Lattice Models
Lakshya Bhardwaj, Lea E. Bottini, Sakura Schafer-Nameki +1
Recent years have seen the concept of global symmetry extended to non-invertible (or categorical) symmetries, for which composition of symmetry generators is not necessarily invert…
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…
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…