Using matrix model,Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau function as a linear expansion of Schur Q-polynomials.In this paper,we will show directly that the Q-polynomial exp...Using matrix model,Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau function as a linear expansion of Schur Q-polynomials.In this paper,we will show directly that the Q-polynomial expansion in this formula satisfies the Virasoro constraints,and consequently obtains a proof of this formula without using matrix model.We also give a proof for Alexandrov’s conjecture that Kontsevich-Witten tau function is a hypergeometric tau function of theBKPhierarchy after re-scaling.展开更多
基金partially supported by NSFC grants 11890662 and 11890660.
文摘Using matrix model,Mironov and Morozov recently gave a formula which represents Kontsevich-Witten tau function as a linear expansion of Schur Q-polynomials.In this paper,we will show directly that the Q-polynomial expansion in this formula satisfies the Virasoro constraints,and consequently obtains a proof of this formula without using matrix model.We also give a proof for Alexandrov’s conjecture that Kontsevich-Witten tau function is a hypergeometric tau function of theBKPhierarchy after re-scaling.
