Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial

Whittaker vectors of the Virasoro algebra in terms of Jack symmetric polynomial
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DOI:
10.1016/j.jalgebra.2011.02.039
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发表时间:
2010-03
期刊:
影响因子:
0.9
通讯作者:
S. Yanagida
S. Yanagida
中科院分区:
数学3区
文献类型:
--
作者:
S. Yanagida

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利用Jack对称函数给出了Virasoro代数的Whittaker向量的一个显式表达式。我们的基本工具是Feigin-Fuchs玻色子化和Awata,Matsuo,Odake和Shiraishi给出的Calogero-Sutherland模型的分裂表达式。
We give an explicit formula of Whittaker vector for Virasoro algebra in terms of the Jack symmetric functions. Our fundamental tools are the Feigin–Fuchs bosonization and the split expression of the Calogero–Sutherland model given by Awata, Matsuo, Odake and Shiraishi.