From r-spin intersection numbers to Hodge integrals
文献类型：期刊论文
| 作者 | Ding, Xiang-Mao1 ; Li, Yuping1; Meng, Lingxian1,2
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 2016-01-04 |
| 期号 | 1页码:51 |
| 关键词 | Matrix Models Integrable Equations in Physics Integrable Hierarchies |
| ISSN号 | 1029-8479 |
| DOI | 10.1007/JHEP01(2016)015 |
| 英文摘要 | 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. |
| 资助项目 | National Natural Science Foundation of China[11375258] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000367752000001 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/21703]  |
| 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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