109 citations · 988 across the 29 of their papers we have counts for
10 papers · 1 filter
Gauging Non-Invertible Symmetries in (2+1)d Topological Orders
Mahesh K. N. Balasubramanian, Matthew Buican, Clement Delcamp +1
We present practical and formal methods for gauging non-invertible symmetries in (2+1)d topological quantum field theories. Along the way, we generalize various aspects of invertib…
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…
Higher categorical symmetries and gauging in two-dimensional spin systems
Clement Delcamp, Apoorv Tiwari
We present a framework to systematically investigate higher categorical symmetries in two-dimensional spin systems. Though exotic, such generalised symmetries have been shown to na…
Crossing with the circle in Dijkgraaf-Witten theory and applications to topological phases of matter
Alex Bullivant, Clement Delcamp
Given a fully extended topological quantum field theory, the 'crossing with the circle' conditions establish that the dimension, or categorification thereof, of the quantum invaria…
On 2-form gauge models of topological phases
Clement Delcamp, Apoorv Tiwari
We explore various aspects of 2-form topological gauge theories in (3+1)d. These theories can be constructed as sigma models with target space the second classifying space o…
Towards a dual spin network basis for (3+1)d lattice gauge theories and topological phases
Clement Delcamp, Bianca Dittrich
Using a recent strategy to encode the space of flat connections on a three-manifold with string-like defects into the space of flat connections on a so-called 2d Heegaard surface,…
Excitation basis for (3+1)d topological phases
Clement Delcamp
We consider an exactly solvable model in 3+1 dimensions, based on a finite group, which is a natural generalization of Kitaev's quantum double model. The corresponding lattice Hami…
On entanglement entropy in non-Abelian lattice gauge theory and 3D quantum gravity
Clement Delcamp, Bianca Dittrich, Aldo Riello
Entanglement entropy is a valuable tool for characterizing the correlation structure of quantum field theories. When applied to gauge theories, subtleties arise which prevent the f…
Fusion basis for lattice gauge theory and loop quantum gravity
Clement Delcamp, Bianca Dittrich, Aldo Riello
We introduce a new basis for the gauge-invariant Hilbert space of lattice gauge theory and loop quantum gravity in dimensions, the fusion basis. In doing so, we shift the f…
From 3D topological quantum field theories to 4D models with defects
Clement Delcamp, Bianca Dittrich
(2+1) dimensional topological quantum field theories with defect excitations are by now quite well understood, while many questions are still open for (3+1) dimensional TQFTs. Here…