From r-spin intersection numbers to Hodge integrals

doi:10.1007/JHEP01(2016)015

CSpace > 应用数学研究所

	From r-spin intersection numbers to Hodge integrals
	Ding, Xiang-Mao1 ; Li, Yuping 1; Meng, Lingxian 1,2
	2016-01-04
发表期刊	JOURNAL OF HIGH ENERGY PHYSICS
ISSN	1029-8479
期号	1 页码:51
摘要	Generalized Kontsevich Matrix Model (GKMM) with a certain given potential is the partition function of r-spin intersection numbers. We represent this GKMM in terms of fermions and expand it in terms of the Schur polynomials by boson-fermion correspondence, and link it with a Hurwitz partition function and a Hodge partition by operators in a (GL) over cap (infinity) group. Then, from a W1+infinity constraint of the partition function of r-spin intersection numbers, we get a W1+infinity constraint for the Hodge partition function. The W1+infinity constraint completely determines the Schur polynomials expansion of the Hodge partition function.
关键词	Matrix Models Integrable Equations in Physics Integrable Hierarchies
DOI	10.1007/JHEP01(2016)015
语种	英语
资助项目	National Natural Science Foundation of China[11375258]
WOS研究方向	Physics
WOS类目	Physics, Particles & Fields
WOS记录号	WOS:000367752000001
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21704
专题	应用数学研究所
通讯作者	Ding, Xiang-Mao
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Zhengzhou Univ Light Ind, Coll Math & Informat Sci, Zhengzhou 450002, Peoples R China
推荐引用方式 GB/T 7714	Ding, Xiang-Mao,Li, Yuping,Meng, Lingxian. From r-spin intersection numbers to Hodge integrals[J]. JOURNAL OF HIGH ENERGY PHYSICS,2016(1):51.
APA	Ding, Xiang-Mao,Li, Yuping,&Meng, Lingxian.(2016).From r-spin intersection numbers to Hodge integrals.JOURNAL OF HIGH ENERGY PHYSICS(1),51.
MLA	Ding, Xiang-Mao,et al."From r-spin intersection numbers to Hodge integrals".JOURNAL OF HIGH ENERGY PHYSICS .1(2016):51.