Factorizable ribbon quantum groups in logarithmic conformal field theories

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作者
A. M. Semikhatov
机构
[1] RAS,Lebedev Physics Institute
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关键词
quantum group; factorizable structure; ribbon structure; modular group; Grothendieck ring; Kazhdan-Lusztig correspondence; logarithmic conformal field theory;
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摘要
We review the properties of quantum groups occurring as the Kazhdan-Lusztig dual to logarithmic conformal field theory models. These quantum groups at even roots of unity are not quasitriangular but are factorizable and have a ribbon structure; the modular group representation on their center coincides with the representation on generalized characters of the chiral algebra in logarithmic conformal field models.
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页码:433 / 453
页数:20
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