35 citations · 35 across the 1 of their papers we have counts for
5 papers
Excitations in strict 2-group higher gauge models of topological phases
Alex Bullivant, Clement Delcamp
We consider an exactly solvable model for topological phases in (3+1)d whose input data is a strict 2-group. This model, which has a higher gauge theory interpretation, provides a…
Tube algebras, excitations statistics and compactification in gauge models of topological phases
Alex Bullivant, Clement Delcamp
We consider lattice Hamiltonian realizations of (+1)-dimensional Dijkgraaf-Witten theory. In (2+1)d, it is well-known that the Hamiltonian yields point-like excitations classifi…
Representations of the Necklace Braid Group: Topological and Combinatorial Approaches
Alex Bullivant, Andrew Kimball, Paul Martin +1
The necklace braid group is the motion group of the component necklace link in Euclidean . Here consists of …
Representations of the Loop Braid Group and Aharonov-Bohm like effects in discrete (3+1)-dimensional higher gauge theory
Alex Bullivant, João Faria Martins, Paul Martin
We show that representations of the loop braid group arise from Aharonov-Bohm like effects in finite 2-group (3+1)-dimensional topological higher gauge theory. For this we introduc…
Twisted Quantum Double Model of Topological Orders with Boundaries
Alex Bullivant, Yuting Hu, Yidun Wan
We generalize the twisted quantum double model of topological orders in two dimensions to the case with boundaries by systematically constructing the boundary Hamiltonians. Given t…