Higher spin polynomial solutions of quantum Knizhnik--Zamolodchikov equation

2012/12/19 by Tiago Fonseca, T. Fonseca, Fonseca, T. +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1212.4672

openalex publication_date 2012/12/19 · arxiv created 2013/10/17 · arxiv updated 2013/10/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide explicit formulae for highest-weight to highest-weight correlation functions of perfect vertex operators of U_q(\mathfraksl(2)) at arbitrary integer level ℓ. They are given in terms of certain Macdonald polynomials. We apply this construction to the computation of the ground state of higher spin vertex models, spin chains (spin ℓ/2 XXZ) or loop models in the root of unity case q=-e^-iπ/(ℓ+2).

Citations

• Current algebra and Wess-Zumino model in two dimensions

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