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Fusion symmetric spaces and subfactors

2011/08/06 by Hans Wenzl, Wenzl, Hans
Mathematics · #17B37 #46L37 #FOS: Mathematics #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math.OA #math.QA #msc:17B37 #msc:46L37

paper · pdf · doi:10.48550/arxiv.1108.1428

23 pages

arxiv created 2011/08/06 · arxiv updated 2011/08/09

Abstract

We construct analogs of the embedding of orthogonal and symplectic groups into unitary groups in the context of fusion categories. At least some of the resulting module categories also appear in boundary conformal field theory. We determine when these categories are unitarizable, and explicitly calculate the index and principal graph of the resulting subfactors.

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