4 papers · 1 filter
Topological lattice gauge theory enriched by non-invertible symmetry
Lea E. Bottini, Clement Delcamp, Edmund Heng +2
We use finite group topological lattice gauge theory, also known as the quantum double model, as a lens to explore a notion of topological order enriched by a non-invertible symmet…
Reflections on time-reversal in the Symmetry Topological Field Theory
Lea E. Bottini, Nick G. Jones
Symmetry under time-reversal appears in the microscopic description of many physical systems. In a quantum mechanical setting it acts as an anti-unitary operator, so does not fall…
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…
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…