Helen Au-Yang

activity

20122019

most citedSerre Relations in the Superintegrable Model

4 citations · 4 across the 2 of their papers we have counts for

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math-ph2018

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

Helen Au-Yang, Jacques H. H. Perk

At roots of unity the $N$ -state integrable chiral Potts model and the six-vertex model descend from each other with the $τ_{2}$ model as the intermediate. We shall discuss how differ…

math-ph2016

Parafermions in the tau-2 model II

Helen Au-Yang, Jacques H. H. Perk

Many years ago Baxter introduced an inhomogeneous two-dimensional classical spin model, now called the $τ_{2} (t)$ model with free boundary conditions, and he specialized the resultin…

math-ph2012★ 4 cited

Serre Relations in the Superintegrable Model

Helen Au-Yang, Jacques H. H. Perk

We derive the Serre relations for the generators of the quantum loop algebra L(sl_2) of the superintegrable tau_2 model in Q not 0 sectors, thus proving a fundamental conjecture in…