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The little desert? Some subfactors with index in the interval (5,3+\sqrt{5})

Morrison, Scott; Peters, Emily


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 the corresponding principal graphs. One of these subfactors is 1-supertransitive, and we demonstrate that it is the only 1-supertransitive subfactor with index between 5 and 3 +\sqrt{5}....[Show more]

CollectionsANU Research Publications
Type: Working/Technical Paper


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