Jones-Wassermann subfactors for disconnected intervals

被引：50

作者：

Xu, F ^{[1
]}

机构：

[1] Univ Oklahoma, Dept Math, Norman, OK 73019 USA

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2000年 / 2卷 / 03期

关键词：

D O I：

10.1142/S0219199700000153

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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 X S-2.

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页码：307 / 347

页数：41

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