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arXiv · 1406.2389

Subfactors of index exactly 5

Masaki Izumi·Scott Morrison·David Penneys·Emily Peters·Noah Snyder
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Abstract

We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.

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Masaki Izumi, Scott Morrison, David Penneys, Emily Peters, Noah Snyder. 2014-06-09. Subfactors of index exactly 5. https://doi.org/10.1112/blms/bdu113

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