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arXiv 2017-09-15 0 views

Lifting shadings on symmetrically self-dual subfactor planar algebras

Liu, Zhengwei · Morrison, Scott · Penneys, David

Original · EN

In this note, we discuss the notion of symmetric self-duality of shaded planar algebras, which allows us to lift shadings on subfactor planar algebras to obtain Z/2Z-graded unitary fusion categories. This finishes the proof that there are unitary fusion categories with fusion graphs 4442 and 3333.

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