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The Annular Structure of Subfactors

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abstract

Given a planar algebra we show the equivalence of the notions of a module over this algebra (in the operadic sense), and module over a universal annular algebra. We classify such modules, with invariant inner products, in the generic region and give applications to subfactorss, including a planar construction of the $E_6$ and $E_8$ subfactors.

fields

hep-th 1

years

2026 1

verdicts

unreviewed 1

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