21 citations · 38 across the 8 of their papers we have counts for
5 papers · 1 filter
Reality and Complexity of -symbols in d Topological Phases
Matthew Buican, Peter Huston, Jiannis K. Pachos
The -symbols of an anyon theory encode the associativity of fusion and constitute some of the theory's most fundamental and, simultaneously, subtle data. Much of the subtlety li…
Anyons and Inherently Complex F-symbols
Matthew Buican, Peter Huston, Jiannis K. Pachos
Anyons in dimensions are not only characterized by exotic braiding statistics but also by intricate fusion properties. Two anyons may fuse into multiple topological charge se…
Enriched string-net models and their excitations
David Green, Peter Huston, Kyle Kawagoe +3
Boundaries of Walker-Wang models have been used to construct commuting projector models which realize chiral unitary modular tensor categories (UMTCs) as boundary excitations. Give…
A lattice model for condensation in Levin-Wen systems
Jessica Christian, David Green, Peter Huston +1
Levin-Wen string-net models provide a construction of (2+1)D topologically ordered phases of matter with anyonic localized excitations described by the {Drinfeld} center of a unita…
Composing topological domain walls and anyon mobility
Peter Huston, Fiona Burnell, Corey Jones +1
Topological domain walls separating 2+1 dimensional topologically ordered phases can be understood in terms of Witt equivalences between the UMTCs describing anyons in the bulk top…