Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity

Helen Au-Yang; Jacques H. H. Perk

Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity

Mathematical Physics 2018-06-12 v1 math.MP

Authors: Helen Au-Yang , Jacques H. H. Perk

Abstract

At roots of unity the $N$ -state integrable chiral Potts model and the six-vertex model descend from each other with the $\tau_2$ model as the intermediate. We shall discuss how different gauge choices in the six-vertex model lead to two different quantum group constructions with different $q$ -Pochhammer symbols, one construction only working well for $N$ odd, the other equally well for all $N$ . We also address the generalization based on the sl $(m,n)$ vertex model.

Keywords

integrable chiral potts model six-vertex model quantum groups roots of unity tau_2 model q-pochhammer symbols sl(m,n) vertex model

Cite

@article{arxiv.1806.03359,
  title  = {Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity},
  author = {Helen Au-Yang and Jacques H. H. Perk},
  journal= {arXiv preprint arXiv:1806.03359},
  year   = {2018}
}

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LaTeX, 10 pages, 7 figures (12 pdf files)

Integrable Chiral Potts Model and the Odd-Even Problem in Quantum Groups at Roots of Unity

Abstract

Keywords

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