Jones-Wassermann Subfactors for Disconnected Intervals

Details Jones-Wassermann Subfactors for Disconnected Intervals Jones-Wassermann Subfactors for Disconnected Intervals

1997-04-02

arxiv.org/abs/q-alg/9704003v1

Mathematics

Functional Analysis

40 pages, Amstex

Scientific paper

We show that the Jones-Wassermann subfactors for disconnected intervals, which are constructed from the representations of loop groups of type $A$, are finite-depth subfactors. The index value and the dual principal graphs of these subfactors are completely determined. The square root of the index value in the case of two disjoint intervals for vacuum representation is the same as the Quantum 3-manifold invariant of type $A$ evaluated on $S^1\times S^2$.

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