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Recursions in Calogero-Sutherland Model Based on Virasoro Singular Vectors

文献类型：期刊论文

作者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
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
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.

入库方式： OAI收割

来源：理论物理研究所

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