Communications in Mathematical Physics

, Volume 320, Issue 3, pp 761–781

On Examples of Intermediate Subfactors from Conformal Field Theory

Article

DOI: 10.1007/s00220-012-1635-4

Cite this article as:
Xu, F. Commun. Math. Phys. (2013) 320: 761. doi:10.1007/s00220-012-1635-4

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.

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of California at RiversideRiversideUSA