21 citations · 38 across the 8 of their papers we have counts for
9 papers
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…
The Classification of Fusion 2-Categories
Thibault D. Décoppet, Peter Huston, Theo Johnson-Freyd +5
We classify (multi)fusion 2-categories in terms of braided fusion categories and group cohomological data. This classification is homotopy coherent -- we provide an equivalence bet…
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…
Unitary braided-enriched monoidal categories
Zachary Dell, Peter Huston, David Penneys
Braided-enriched monoidal categories were introduced in work of Morrison-Penneys, where they were characterized using braided central functors. Recent work of Kong-Yuan-Zhang-Zheng…
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…
The module embedding theorem via towers of algebras
Desmond Coles, Peter Huston, David Penneys +1
Jones and Penneys showed that a finite depth subfactor planar algebra embeds in the bipartite graph planar algebra of its principal graph, via a Markov towers of algebras approach.…
An experimental investigation of Neumann's conjecture
Stephen Gilles, Peter Huston
We use a large census of hyperbolic 3-manifolds to experimentally investigate a conjecture of Neumann regarding the Bloch Group. We present an augmented census including, for feasi…