An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem
Operator Algebras
2015-09-03 v2 Quantum Algebra
Abstract
We find a new obstruction to the principal graphs of subfactors. It shows that in a certain family of 3-supertransitive principal graphs, there must be a cycle by depth 6, with one exception, the principal graph of the Haagerup subfactor.
Keywords
Cite
@article{arxiv.1302.5148,
title = {An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem},
author = {Scott Morrison},
journal= {arXiv preprint arXiv:1302.5148},
year = {2015}
}
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(published version)