One-Dimensional vertex models associated with a class of Yangian invariant Haldane-Shastry like spin chains

Bireswar Basu-Mallick, Nilanjan Bondyopadhaya, Kazuhiro Hikami

研究成果: ジャーナルへの寄稿学術誌査読

20 被引用数 (Scopus)

抄録

We define a class of Y (sl(m{pipe}n)) Yangian invariant Haldane-Shastry (HS) like spin chains, by assuming that their partition functions can be written in a particular form in terms of the super Schur polynomials. Using some properties of the super Schur polynomials, we show that the partition functions of this class of spin chains are equivalent to the partition functions of a class of one-dimensional vertex models with appropriately defined energy functions. We also establish a boson-fermion duality relation for the partition functions of this class of supersymmetric HS like spin chains by using their correspondence with onedimensional vertex models.

本文言語英語
論文番号091
ジャーナルSymmetry, Integrability and Geometry: Methods and Applications (SIGMA)
6
DOI
出版ステータス出版済み - 2010
外部発表はい

!!!All Science Journal Classification (ASJC) codes

  • 分析
  • 数理物理学
  • 幾何学とトポロジー

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