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题名: Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
作者: Wu, JF ;  Xu, YY ;  Yu, M
刊名: COMMUNICATIONS IN THEORETICAL PHYSICS
出版日期: 2012
卷号: 57, 期号:5, 页码:743-758
关键词: COLLECTIVE FIELD-THEORY ;  INTEGRABLE SYSTEMS ;  ALGEBRA ;  POLYNOMIALS ;  FORMULA
学科分类: Physics
通讯作者: Wu, JF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Wu Jian-Feng; Xu Ying-Ying; Yu Ming] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: The present work is much motivated by finding an explicit way in the construction of the Jack symmetric function, which is the spectrum generating function for the Calogero-Sutherland (CS) model. To accomplish this work, the hidden Virasoro structure in the CS model is much explored. In particular, we found that the Virasoro singular vectors form a skew hierarchy in the CS model. Literally, skew is analogous to coset, but here specifically refer to the operation on the Young tableaux. In fact, based on the construction of the Virasoro singular vectors, this hierarchical structure can be used to give a complete construction of the CS states, i.e. the Jack symmetric functions, recursively. The construction is given both in operator formalism as well as in integral representation. This new integral representation for the Jack symmetric functions may shed some insights on the spectrum constructions for the other integrable systems.
资助者: Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000304410100003
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15103
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Wu, JF,Xu, YY,Yu, M. Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2012,57(5):743-758.
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