On braided tensor categories of type BCD
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Abstract We give a full classification of all braided semisimple tensor categories whose Grothendieck semiring is the one of Rep(O(∞)) (formally), Rep(O(N)), Rep(Sp(N)) or of one of its associated fusion categories. If the braiding is not symmetric, they are completely determined by the eigenvalues of a certain braiding morphism, and we determine precisely which values can occur in the various cases. If the category allows a symmetric braiding, it is essentially determined by the dimension of the object corresponding to the vector representation.
Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9f993e91924e66b6643b3e1ed7c2c2327673194d