Jones-Wassermann Subfactors for Disconnected Intervals

Feng Xu

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arXiv · q-alg/9704003

Jones-Wassermann Subfactors for Disconnected Intervals

Feng Xu

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Abstract

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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BibTeX RIS

Feng Xu. 1997-04-02. Jones-Wassermann Subfactors for Disconnected Intervals. https://arxiv.org/abs/q-alg/9704003

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