Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors

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	Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors
	Yu, M
刊名	COMMUNICATIONS IN THEORETICAL PHYSICS
	2012
卷号	57 期号:5 页码:743-758
关键词	COLLECTIVE FIELD-THEORY INTEGRABLE SYSTEMS ALGEBRA POLYNOMIALS FORMULA
ISSN号	0253-6102
通讯作者	Wu, JF (reprint author), 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.
学科主题	Physics
收录类别	SCI
资助信息	Chinese Academy of Sciences [KJCX3-SYW-S03]; National Natural Science Foundation of China [11035008]
原文出处	http://dx.doi.org/10.1088/0253-6102/57/5/03
语种	英语
WOS记录号	WOS:000304410100003
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15103]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Yu, M. Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2012,57(5):743-758.
APA	Yu, M.(2012).Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors.COMMUNICATIONS IN THEORETICAL PHYSICS,57(5),743-758.
MLA	Yu, M."Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors".COMMUNICATIONS IN THEORETICAL PHYSICS 57.5(2012):743-758.