Simple current auto-equivalences of modular tensor categories

DOI10.1090/proc/14795zbMath1432.18017arXiv1902.09498OpenAlexW2982703668WikidataQ126862653 ScholiaQ126862653MaRDI QIDQ5218188

Cain Edie-Michell

Publication date: 2 March 2020

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.09498

zbMATH Keywords

quantum algebramodular tensor categoriesmonoidal auto-equivalences

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Monoidal categories, symmetric monoidal categories (18M05)

Related Items (5)

Auto-equivalences of the modular tensor categories of type \(A, B, C\) and \(G\) ⋮ Reconstructing braided subcategories of \(SU (N)_k \) ⋮ Equivalences of graded fusion categories ⋮ Braided zesting and its applications ⋮ Classifying fusion categories \(\otimes\)-generated by an object of small Frobenius-Perron dimension

Cites Work

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• On gauging symmetry of modular categories
• On braided fusion categories. I
• The automorphisms of affine fusion rings.
• Lie theory for fusion categories: A research primer

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