3 papers
cond-mat.str-el2026
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…
cond-mat.str-el2026
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…
math.CT2024
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…