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

2018/06/08 by Helen Au-Yang, Jacques H. H. Perk, Au-Yang, Helen +1
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1806.03359

openalex publication_date 2018/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

At roots of unity the N-state integrable chiral Potts model and the six-vertex model descend from each other with the τ₂ 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.

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