On Examples of Intermediate Subfactors from Conformal Field Theory
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- Xu, F. Commun. Math. Phys. (2013) 320: 761. doi:10.1007/s00220-012-1635-4
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Motivated by our subfactor generalization of Wall’s conjecture, in this paper we determine all intermediate subfactors for conformal subnets corresponding to four infinite series of conformal inclusions, and as a consequence we verify that these series of subfactors verify our conjecture. Our results can be stated in the framework of Vertex Operator Algebras. We also verify our conjecture for Jones-Wassermann subfactors from representations of Loop groups extending our earlier results.