Completeness of the Hypergeometric Solutions of the qKZ Equation at Level Zero

Abstract

We discuss the hypergeometric solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero and show that they give all solutions of the qKZ equation. We completely describe linear relations between the hypergeometric solutions and give an interpretation of the relations in terms of the quantum group $U_q(s{l}_2)$ at $q=e^{\pi i/2}$.

arXiv comment14 pages, amstex.tex (ver. 2.1) and amssym.tex are required

References in corpus (4)

• Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras
• Counting the local fields in SG theory.
• On solutions of the KZ and qKZ equations at level zero
• On the deformation of abelian integrals

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• Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation
• Residues of q-Hypergeometric Integrals and Characters of Affine Lie Algebras
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• Hypergeometric Solutions of the qKZ Equation at Level Zero
• Determinat formula for solutions of the $U_q(s{l}_n)$ qKZ equation at $|q|=1$
• Form factors of SU(N) invariant Thirring model