ITP OpenIR  > 理论物理所2012年知识产出
Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
Wu, JF; Xu, YY; Yu, M; Wu, JF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
2012
发表期刊COMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
卷号57期号:5页码:743-758
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.
部门归属[Wu Jian-Feng; Xu Ying-Ying; Yu Ming] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China
关键词Collective Field-theory Integrable Systems Algebra Polynomials Formula
学科领域Physics
资助者Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008]
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收录类别SCI
语种英语
资助者Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008] ; Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008]
WOS记录号WOS:000304410100003
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文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/15103
专题理论物理所2012年知识产出
通讯作者Wu, JF (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
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Wu, JF,Xu, YY,Yu, M,et al. Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2012,57(5):743-758.
APA Wu, JF,Xu, YY,Yu, M,&Wu, JF .(2012).Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors.COMMUNICATIONS IN THEORETICAL PHYSICS,57(5),743-758.
MLA Wu, JF,et al."Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors".COMMUNICATIONS IN THEORETICAL PHYSICS 57.5(2012):743-758.
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