DOI: 10.1063/5.0347959 ISSN: 0022-2488

The balanced structure on the category of representations of a conformal net

Adrià Marín-Salvador
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Let A be a (not necessarily rational) conformal net. We show that the braided W*-tensor category Rep(A) of representations of A is canonically a balanced W*-tensor category. The balance on a representation H∈Rep(A) is given by the action of e−2πiL0, where L0 denotes the generator of rotations on S1.

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