On the universal R-matrix for the Izergin-Korepin model

H. Boos; F. Göhmann; A. Klümper; Kh. S. Nirov; A. V. Razumov

doi:10.1088/1751-8113/44/35/355202

On the universal R-matrix for the Izergin-Korepin model

Mathematical Physics 2011-08-11 v2 math.MP Exactly Solvable and Integrable Systems

Authors: H. Boos , F. Göhmann , A. Klümper , Kh. S. Nirov , A. V. Razumov

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Abstract

We continue our exercises with the universal $R$ -matrix based on the Khoroshkin and Tolstoy formula. Here we present our results for the case of the twisted affine Kac--Moody Lie algebra of type $A^{(2)}_2$ . Our interest in this case is inspired by the fact that the Tzitz\'eica equation is associated with $A^{(2)}_2$ in a similar way as the sine-Gordon equation is related to $A^{(1)}_1$ . The fundamental spin-chain Hamiltonian is constructed systematically as the logarithmic derivative of the transfer matrix. $L$ -operators of two types are obtained by using q-deformed oscillators.

Keywords

wess-zumino-witten models lie algebras and representations

Cite

@article{arxiv.1104.5696,
  title  = {On the universal R-matrix for the Izergin-Korepin model},
  author = {H. Boos and F. Göhmann and A. Klümper and Kh. S. Nirov and A. V. Razumov},
  journal= {arXiv preprint arXiv:1104.5696},
  year   = {2011}
}

Comments

26 pages; comments and refs added, version to appear in J. Phys. A: Math. Theor

On the universal R-matrix for the Izergin-Korepin model

Abstract

Keywords

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