ON THE SPECTRUM OF DEHN TWISTS IN QUANTUM TEICHMÜLLER THEORY
ON THE SPECTRUM OF DEHN TWISTS IN QUANTUM TEICHMÜLLER THEORY
复制标题
量子 TEICHMÜLLER 理论中的 DEHN 扭曲光谱
DOI：
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发表时间：
2000
期刊：
影响因子：
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通讯作者：
R. Kashaev
中科院分区：
文献类型：
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作者：
R. Kashaev
将量子Teichmuller理论中实现Dehn扭曲的算符对角化，得到连续谱。这一结果与量子刘维尔理论中c>1时共形权的预期谱一致。本征向量的完备性条件包括Ponsot和Teschner在量子Liouville理论的表示论方法中出现的积分测度。基本的量子群结构也被揭示。
The operator realizing a Dehn twist in quantum Teichmuller theory is diagonalized and continuous spectrum is obtained. This result is in agreement with the expected spectrum of conformal weights in quantum Liouville theory at c>1. The completeness condition of the eigenvectors includes the integration measure which appeared in the representation theoretic approach to quantum Liouville theory by Ponsot and Teschner. The underlying quantum group structure is also revealed.