Strong additivity and conformal nets
type: Item
instance of: scholarly article
title: Strong additivity and conformal nets
zbMATH Open document ID: 1103.81020
author: Feng Xu
published in: Pacific Journal of Mathematics
publication date: 2006-07-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0303266
review text: It is shown that the fixed-point subnet of a strongly additive conformal net under the action of a compact group is strongly additive. Then pairs \(\mathcal B\subset\mathcal A\) of conformal nets are considered and some results on induction of pairs known earlier for the finite index case are proven for general strongly additive pairs. This is used to classify conformal nets with central charge \(c=1\) satisfying the following spectrum condition: a degenerate representation of the Virasoro net other than the vacuum representation must appear in the vacuum representation of \(\mathcal A\) if \(\mathcal A\neq\mathcal A_{c=1}\).
Mathematics Subject Classification ID: 81R15
Mathematics Subject Classification ID: 81R10
Mathematics Subject Classification ID: 46L10
Mathematics Subject Classification ID: 46L35
Mathematics Subject Classification ID: 81T05
zbMATH DE Number: 5039947
zbMATH Keywords: subfactor
zbMATH Keywords: conformal net
zbMATH Keywords: strong additivity
reviewed by: Vladimir M. Manuilov
MaRDI profile type: Publication
OpenAlex ID: W2019179074
arXiv ID: math/0303266
DOI: 10.2140/PJM.2005.221.167
description: scientific article