On examples of intermediate subfactors from conformal field theory

2012/11/02 by Feng Xu
Mathematics · #math.OA #math.QA

paper · pdf · doi:10.1007/s00220-012-1635-4

to appear in comm. math. phys. arXiv admin note: text overlap with arXiv:0710.4116, arXiv:math/0505367, arXiv:math/0703248, arXiv:1002.2744

arxiv created 2012/11/02 · arxiv updated 2015/06/12

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.

Citations

• An application of Mirror extensions
• Mirror extensions of local nets
• On representing some lattices as lattices of intermediate subfactors of finite index
• On intermediate subfactors of Goodman-de la Harpe-Jones subfactors