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arXiv · 2107.11374

Zesting produces modular isotopes and explains their topological invariants

Colleen Delaney·Sung Kim·Julia Plavnik
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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.

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Colleen Delaney, Sung Kim, Julia Plavnik. 2021-07-23. Zesting produces modular isotopes and explains their topological invariants. https://arxiv.org/abs/2107.11374

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