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  Location: Home >  Research Activities >  Seminar
Generalised Kontsevich Matrix Model and Schur polynomials
2014-11-28     Text Size:  A

Institute of Theoretical Physics

Chinese Academy of Sciences

State Key Laboratory of Theoretical Physics

Seminar

 

Title

题目

Generalised Kontsevich Matrix Model and Schur polynomials

Speaker

报告人

Prof.Xiang-Mao Ding 丁祥茂(研究员)

Affiliation

所在单位

Academy of Mathematics and Systems Science, CAS 中科院数学与系统科学研究院

Date

日期

2014年11月28日(周五)上午10:00

Venue

地点

ITP new building 6420

Abstract

摘要

We present an explicit fermionic representation of the Kontsevich-Witten (KW) τ -function, and establish a relationship to the Hurwitz partition function by a GL(∞) group operator. Then, from the Virasoro constraint of the Kontsevich matrix model, we get the Virasoro constraint for the Hurwitz partition function, and the Virasoro constraint completely determines the Schur polynomials representation of the Hurwitz partition function. For a Generalised Kontsevich Matrix model (GKMM), we express the partition function in terms of the Schur polynomials. While for certain given potential, it is a r-reduced KP τ -function, and then the r-spin intersection numbers are obtained.
 

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