, Volume 320, Issue 3, pp 761-781

On Examples of Intermediate Subfactors from Conformal Field Theory

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Abstract

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.

Communicated by Y. Kawahigashi
Supported in part by NSF grant and an academic senate grant from UCR.