Orbifold subfactors from Hecke algebras |
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| Authors: | David E Evans Yasuyuki Kawahigashi |
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| Institution: | (1) Department of Mathematics, University College of Swansea, Singleton Park, SA2 8PP Swansea, Wales, U.K.;(2) Department of Mathematics, University of California, 94720 Berkeley, CA, USA;(3) Present address: Department of Mathematical Sciences, University of Tokyo, Hongo, 113 Tokyo, Japan |
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| Abstract: | We apply the notion of orbifold models ofSU(N) solvable lattice models to the Hecke algebra subfactors of Wenzl and get a new series of subfactors. In order to distinguish our subfactors from those of Wenzl, we compute the principal graphs for both series of subfactors. An obstruction for flatness of connections arises in this orbifold procedure in the caseN=2 and this eliminates the possibility of the Dynkin diagramsD
2n+1
, but we show that no such obstructions arise in the caseN=3. Our tools are the paragroups of Ocneanu and solutions of Jimbo-Miwa-Okado to the Yang-Baxter equation. |
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