对数共形场论中的可因子分解带量子群
Factorizable ribbon quantum groups in logarithmic conformal field theories
摘要:
本文综述了对数共形场论模型的Kazhdan-Lusztig对偶的量子群的性质。这些在偶数单位根上的量子群不是拟三角群,而是可因子分解的,具有带状结构,其中心的模群表示与对数共形场模型中手征代数的广义特征标表示一致.
英文摘要:
We review the properties of quantum groups occurring as 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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