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On Examples of Intermediate Subfactors from Conformal Field Theory

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of California at Riverside, Riverside, CA, 92521, USA

    Feng Xu

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  1. Feng Xu
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Correspondence to Feng Xu.

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Communicated by Y. Kawahigashi

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

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Xu, F. On Examples of Intermediate Subfactors from Conformal Field Theory. Commun. Math. Phys. 320, 761–781 (2013). https://doi.org/10.1007/s00220-012-1635-4

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  • DOI: https://doi.org/10.1007/s00220-012-1635-4

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