On solutions of the KZ and qKZ equations at level zero

Abstract

We discuss relations between different formulae for solutions of the Knizhnik-Zamolodchikov differential and the quantum Knizhnik-Zamolodchikov difference equations at level 0 and associated with rational solutions of the Yang-Baxter equation.

arXiv comment24pages, LaTeX 2.09, amssym.def and amssym.tex required

References in corpus (5)

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• Geometry of q-Hypergeometric Functions as a Bridge between Yangians and Quantum Affine Algebras
• Geometry of q-Hypergeometric Functions, Quantum Affine Algebras and Elliptic Quantum Groups
• Counting the local fields in SG theory.
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• Counting minimal form factors of the restricted sine-Gordon model
• Completeness of the Hypergeometric Solutions of the qKZ Equation at Level Zero
• 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
• Construction of determinants for the six-vertex model with domain wall boundary conditions
• Form factors and action of U_{\sqrt{-1}}(sl_2~) on infinite-cycles
• Hypergeometric Solutions of the qKZ Equation at Level Zero
• Smirnov-type integral formulae for correlation functions of the bulk/boundary XXZ model in the anti-ferromagnetic regime
• Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero
• Form factors of SU(N) invariant Thirring model
• A functional model for the tensor product of level 1 highest and level -1 lowest modules for the quantum affine algebra U_q(sl_{2}^)