The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem

Jacques H. H. Perk

The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem

Mathematical Physics 2016-01-19 v3 math.MP

Authors: Jacques H. H. Perk

Abstract

In the first part of this paper I shall discuss the round-about way of how the integrable chiral Potts model was discovered about 30 years ago. As there should be more higher-genus models to be discovered, this might be of interest. In the second part I shall discuss some quantum group aspects, especially issues of odd versus even $N$ related to the Serre relations conjecture in our quantum loop subalgebra paper of 5 years ago and how we can make good use of coproducts, also borrowing ideas of Drinfeld, Jimbo, Deguchi, Fabricius, McCoy and Nishino.

Keywords

integrable chiral Potts model quantum group odd-even problem Serre relations quantum loop subalgebra coproduct higher-genus model

Cite

@article{arxiv.1511.08526,
  title  = {The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem},
  author = {Jacques H. H. Perk},
  journal= {arXiv preprint arXiv:1511.08526},
  year   = {2016}
}

Comments

21 pages, 4 figures, accepted by J. Phys. A. Version 2: content unchanged, replaced fonts of the primes in figures 3 and 4 to solve printing problem. Version 3: four minor corrections

The Early History of the Integrable Chiral Potts Model and the Odd-Even Problem

Abstract

Keywords

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