A simple numerical argument is given that the minimal (Jones) index of a subfactor \(N \subset M\) is strongly restricted if for \(L \subset N\) with the same index, the subfactor \(L \subset M\) contains a sector with index from the Jones series \(4 \cos ^{2} \pi / m\). E.g.. \(N \subset M\) might
A remark on the minimal index of subfactors
โ Scribed by Hideki Kosaki; Roberto Longo
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 636 KB
- Volume
- 107
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
This paper is devoted to the study of subfactors arising out of commuting squares constructed out of the simplest possible vertex models. After setting up the necessary general background, we start with two classes of commuting squares and compute the principal graphs of the resulting subfactors, on
The tensor notation elucidates the ambiguities arised in the bond index definition, due to different matrix representations of the electronic charge distribution operator. It is shown that the orthogonalization transformation is the familiar Liiwdin matrix