7 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…
Algebras of order parameters in one-dimensional spin systems
Ameya Chavda, Clement Delcamp, Alex Turzillo +1
We study order parameters in one-dimensional quantum lattice models with finite invertible or non-invertible symmetry. We investigate what properties a string operator must satisfy…
A non-semisimple non-invertible symmetry
Clement Delcamp, Edmund Heng, Matthew Yu
We investigate the action of a non-invertible symmetry on spins chains whose topological lines are labelled by representations of the four-dimensional Taft algebra. The main peculi…
Symmetry topological field theory and non-abelian Kramers-Wannier dualities of generalised Ising models
Clement Delcamp, Nafiz Ishtiaque
For a class of two-dimensional Euclidean lattice field theories admitting topological lines encoded into a spherical fusion category, we explore aspects of their realisations as bo…
Entanglement and the density matrix renormalisation group in the generalised Landau paradigm
Laurens Lootens, Clement Delcamp, Frank Verstraete
The fields of entanglement theory and tensor networks have recently emerged as central tools for characterising quantum phases of matter. In this article, we determine the entangle…
Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories
Bram Vancraeynest-De Cuiper, Clement Delcamp
Given a two-dimensional quantum lattice model with an abelian gauge theory interpretation, we investigate a duality operation that amounts to gauging its invertible 1-form symmetry…