Zesting produces modular isotopes and explains their topological invariants
Quantum Algebra
2024-10-14 v2 Mathematical Physics
Category Theory
math.MP
Abstract
We show that the ribbon zesting construction can produce modular isotopes -- different modular fusion categories with the same modular data. The result relies on the observation that the Reshetikhin-Turaev invariants of framed links associated to a ribbon fusion category satisfy a factorization property under zesting. This gives a new perspective on using topological invariants to classify topological order in light of modular data not being a complete invariant.
Keywords
Cite
@article{arxiv.2107.11374,
title = {Zesting produces modular isotopes and explains their topological invariants},
author = {Colleen Delaney and Sung Kim and Julia Plavnik},
journal= {arXiv preprint arXiv:2107.11374},
year = {2024}
}