The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with U_q(sl_n) for |q|=1

1999/02/17 by Tetsuji Miwa, Miwa, Tetsuji, Yoshihiro Takeyama +1 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9902099

submitted to the proceedings for SIDE III meeting at Sabaudia near Rome

openalex publication_date 1999/02/17 · arxiv created 1999/02/18 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We write the integral formula of Tarasov-Varchenko type for the solutions to the quantum Knizhnik-Zamolodchikov associated with a tensor product the of vector representations of sl_n. We consider the case where the deformation parameter q satisfies |q|=1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting.

Cited by

• Determinat formula for solutions of the U_q(sl_n) qKZ equation at |q|=1
• THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH U_q(A₂⁽²⁾) FOR |q| = 1

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