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arXiv · 1302.5148

An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem

Scott Morrison
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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.

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Scott Morrison. 2013-10-15. An obstruction to subfactor principal graphs from the graph planar algebra embedding theorem. https://doi.org/10.1112/blms%2Fbdu009

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