Fusion symmetric spaces and subfactors

Details Fusion symmetric spaces and subfactors Fusion symmetric spaces and subfactors

2011-08-06

arxiv.org/abs/1108.1428v1

Mathematics

Operator Algebras

23 pages

Scientific paper

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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