5 papers
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…
A Gapless Phase with Haagerup Symmetry
Lea E. Bottini, Sakura Schafer-Nameki
We construct a (1+1)d gapless theory which has Haagerup symmetry. The construction relies on the recent exploration of the categorical Landau paradigm applied to fu…
The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries
Lakshya Bhardwaj, Lea E. Bottini, Daniel Pajer +1
We provide a generalization of the Symmetry Topological Field Theory (SymTFT) framework to characterize phase transitions and gapless phases with categorical symmetries. The centra…