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From r-spin intersection numbers to Hodge integrals
Ding, Xiang-Mao1; Li, Yuping1; Meng, Lingxian1,2
2016-01-04
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
ISSN1029-8479
Issue1Pages:51
AbstractGeneralized 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.
KeywordMatrix Models Integrable Equations in Physics Integrable Hierarchies
DOI10.1007/JHEP01(2016)015
Language英语
Funding ProjectNational Natural Science Foundation of China[11375258]
WOS Research AreaPhysics
WOS SubjectPhysics, Particles & Fields
WOS IDWOS:000367752000001
PublisherSPRINGER
Citation statistics
Cited Times:19[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21704
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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.
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