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

Takeshi Ikeda*, Hiro Fumi Yamada

*この研究の対応する著者

研究成果: Article査読

8 被引用数 (Scopus)

抄録

A family of polynomial τ-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 τ-functions are given explicitly in terms of Schur functions that correspond to rectangular Young diagrams. It is shown that an arbitrary polynomial τ-function which is an eigenvector of d, the degree operator of g, is contained in the family. By the construction, any τ-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.

本文言語English
ページ(範囲)147-156
ページ数10
ジャーナルLetters in Mathematical Physics
60
2
DOI
出版ステータスPublished - 2002 5
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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