Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors

Details Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors

2002-02-05

arxiv.org/abs/nlin/0202011v1

Lett.Math.Phys. 60 (2002) 147-156

Nonlinear Sciences

Exactly Solvable and Integrable Systems

10 pages, no figure

Scientific paper

A family of polynomial \tau-functions for the NLS-Toda hierarchy is constructed. The hierarchy is associated with the homogeneous vertex operator representation of the affine algebra \g of type A_1^{(1)}. These \tau-functions are given explicitly in terms of Schur functions that correspond to rectangular Young diagrams. It is shown that an arbitrary polynomial \tau-function which is an eigenvector of d, the degree operator of \g, is contained in the family. By the construction, any \tau-function in the family becomes a Virasoro singular vector. This consideration gives rise to a simple proof of known results on the Fock representation of the Virasoro algebra with c=1.

Affiliated with

Also associated with

No associations

Rating

Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Polynomial τ-functions of the NLS-Toda hierarchy and the Virasoro singular vectors will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-705357