The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$
The little desert? Some subfactors with index in the interval $(5, 3+\sqrt{5})$
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 are two known quantum-group subfactors with index in this interval, and we show that these subfactors are the only way to realize …