Greedy fusion
Quantum Algebra
2026-07-14 v1 Commutative Algebra
Abstract
We demonstrate that certain sequences of integer formal codegrees, motivated by the greedy algorithm for unit fraction decompositions of 1, dictate the structure of fusion rings. In particular, no fusion ring that has formal codegrees 2, 3, and 7 is categorifiable.
Cite
@article{arxiv.2607.13126,
title = {Greedy fusion},
author = {Andrew Schopieray},
journal= {arXiv preprint arXiv:2607.13126},
year = {2026}
}
Comments
8 pages