On trigonometric intertwining vectors and non-dynamical R-matrix for the Ruijsenaars model

A. Antonov, K. Hasegawa, A. Zabrodin

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)

Abstract

We elaborate on the trigonometric version of intertwining vectors and factorized L-operators. The starting point is the corresponding elliptic construction with Belavin's R-matrix. The naive trigonometric limit is singular and a careful analysis is needed. It is shown that the construction admits several different trigonometric degenerations. As a by-product, a quantum Lax operator for the trigonometric Ruijsenaars model intertwined by a non-dynamical R-matrix is obtained. The latter differs from the standard trigonometric R-matrix of An type. A connection with the dynamical R-matrix approach is discussed.

Original languageEnglish
Pages (from-to)747-770
Number of pages24
JournalNuclear Physics B
Volume503
Issue number3
DOIs
Publication statusPublished - 1997 Oct 20

Keywords

  • Quantum L-operator
  • Trigonometric Ruijsenaars model
  • Vertex-face correspondence

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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