70 citations · 207 across the 11 of their papers we have counts for
6 papers · 1 filter
Subfactors of index exactly 5
Masaki Izumi, Scott Morrison, David Penneys +2
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 r…
Calculating two-strand jellyfish relations
David Penneys, Emily Peters
We construct subfactors where one of the principal graphs is a spoke graph using an algorithm which computes two-strand jellyfish relations. One of the subfactors we construct is a…
The little desert? Some subfactors with index in the interval (5,3+\sqrt{5})
Scott Morrison, Emily Peters
Progress on classifying small index subfactors has revealed an almost empty landscape. In this paper we give some evidence that this desert continues up to index 3+\sqrt{5}. There…
Subfactors of index less than 5, part 2: triple points
Scott Morrison, David Penneys, Emily Peters +1
We summarize the known obstructions to subfactors with principal graphs which begin with a triple point. One is based on Jones's quadratic tangles techniques, although we apply it…
Constructing the extended Haagerup planar algebra
Stephen Bigelow, Scott Morrison, Emily Peters +1
We construct a new subfactor planar algebra, and as a corollary a new subfactor, with the `extended Haagerup' principal graph pair. This completes the classification of irreducible…
A planar algebra construction of the Haagerup subfactor
Emily Peters
Most known examples of subfactors occur in families, coming from algebraic objects such as groups, quantum groups and rational conformal field theories. The Haagerup subfactor is t…