%0 Journal Article
%T 1-supertransitive subfactors with index at most 6+1/5
%A Zhengwei Liu
%A Scott Morrison
%A David Penneys
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00220-014-2160-4
%X We classify irreducible II_1 subfactors A \subset B such that B \ominus A is reducible as an A-A bimodule, with index at most 6+1/5, leaving aside the composite subfactors at index exactly 6. Previous work has already achieved this up to index 3+\sqrt{5} \approx 5.23. We find there are exactly three such subfactors with index in (3+\sqrt{5}, 6+1/5], all with index 3+2\sqrt{2}. One of these comes from SO(3)_q at a root of unity, while the other two appear to be closely related, and are `braided up to a sign'.
%U http://arxiv.org/abs/1310.8566v1