On examples of intermediate subfactors from conformal field theory
Operator Algebras
2015-06-12 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.1211.0484,
title = {On examples of intermediate subfactors from conformal field theory},
author = {Feng Xu},
journal= {arXiv preprint arXiv:1211.0484},
year = {2015}
}
Comments
to appear in comm. math. phys. arXiv admin note: text overlap with arXiv:0710.4116, arXiv:math/0505367, arXiv:math/0703248, arXiv:1002.2744