dorsal/arxiv
View SchemaJones-Wassermann Subfactors for Disconnected Intervals
| Authors | Feng Xu |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9704003 |
| URL | https://arxiv.org/abs/q-alg/9704003 |
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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"abstract": "We show that the Jones-Wassermann subfactors for disconnected intervals,\nwhich are constructed from the representations of loop groups of type $A$, are\nfinite-depth subfactors. The index value and the dual principal graphs of these\nsubfactors are completely determined. The square root of the index value in the\ncase of two disjoint intervals for vacuum representation is the same as the\nQuantum 3-manifold invariant of type $A$ evaluated on $S^1\\times S^2$.",
"arxiv_id": "q-alg/9704003",
"authors": [
"Feng Xu"
],
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"title": "Jones-Wassermann Subfactors for Disconnected Intervals",
"url": "https://arxiv.org/abs/q-alg/9704003"
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