3 papers
math-ph2025
Tables of practical invariants for distinguishing multiplicity-free fusion categories up to rank 7
Gert Vercleyen
This paper discusses to what extent the census of multiplicity-free fusion categories up to rank 7, proposed by the software package Anyonica and the anyonwiki website, can be rega…
math-ph2024
On Low-Rank Multiplicity-Free Fusion Categories
Gert Vercleyen
This thesis explains the methods and algorithms we used to obtain explicit F symbols, R symbols, and pivotal coefficients of all multiplicity-free pivotal fusion categories up to r…
math-ph2022
On Low Rank Fusion Rings
Gert Vercleyen, Joost Slingerland
We present a method to generate all fusion rings of a specific rank and multiplicity. This method was used to generate exhaustive lists of fusion rings up to order 9 for several mu…