.png){kind=icon}
返回
On KP-integrable Hurwitz functions
.png){kind=icon}
OA
AI
DOI：10.1007/JHEP11(2014)080.png)
.png){kind=icon}
.png){kind=icon}
分享.png){kind=icon}
收藏
摘要
En 中文
There is now a renewed interest [1]-[4] to a Hurwitz tau-function, counting the isomorphism classes of Belyi pairs, arising in the study of equilateral triangulations and Grothiendicks's dessins d'enfant. It is distinguished by belonging to a particular family of Hurwitz tau-functions, possessing conventional Toda/KP integrability properties. We explain how the variety of recent observations about this function fits into the general theory of matrix model tau-functions. All such quantities possess a number of different descriptions, related in a standard way: these include Toda/KP integrability, several kinds of W-representations (we describe four), two kinds of integral (multi-matrix model) descriptions (of Hermitian and Kontsevich types), Virasoro constraints, character expansion, embedding into generic set of Hurwitz tau-functions and relation to knot theory. When approached in this way, the family of models in the literature has a natural extension, and additional integrability with respect to associated new time-variables. Another member of this extended family is the Itsykson-Zuber integral.
Keyword:
Matrix Models
Integrable Hierarchies
Topological Field Theories
AI总结
对已上传原文的论文进行重点信息的提取，主要内容包括：简要概述、研究摘要、背景介绍、关键亮点、图文解析、展望与总结。
期刊
IF:
5.5
论文数:
3.9W
被引数:
13.7W
机构
引用论文
An ensemble of deep CNNs for automatic grading of breast cancer in digital pathology images用于数字病理图像中乳腺癌自动分级的深度CNN集成
.png){kind=icon}
PREAI
分享收藏Evaluation of three methods used in carbonate content determination for lacustrine sediments对湖泊沉积物碳酸盐含量测定中使用的三种方法的评估
OAAI
OAAI分享收藏分享收藏Reproducibility of Radionuclide Left Ventricular Ejection Fraction in Patients Awaiting Cardiac Transplantatio放射性核素左心室射血分数在等待心脏移植患者中的可重复性
PREAI
分享收藏OESTROGEN RECEPTOR ASSAY OF BREAST CANCER BY IMMUNOCYTOCHEMISTRY OF FINE NEEDLE ASPIRATES乳腺癌细针抽吸物的免疫细胞化学雌激素受体检测
PREAI
分享收藏Circulating E-selectin levels and insulin resistance are associated with early stages of atherosclerosis in nonfunctional adrenal incidentaloma循环E-选择素水平与胰岛素抵抗与非功能性肾上腺偶发瘤患者动脉粥样硬化的早期阶段相关OAAI
OAAI分享收藏
查看更多内容