Non-pseudounitary fusion

2020/10/06 by Andrew Schopieray, Schopieray, Andrew · 1 voice
Mathematics · #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA) #math.CT #math.QA

paper · pdf · doi:10.48550/arxiv.2010.02958

Abstract

We prove there exist infinitely many inequivalent fusion categories whose Grothendieck rings do not admit any pseudounitary categorifications.

Discussions

• Yes. In your other question, I spoke of "gauge transformations" in the comments (cf. section 9.4 of the book you mentioned by Simon for a description of how $F$ -symbols transform in a unitary gauge i [stackexchange, 3 points]

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