The Quantized Knizhnik—Zamolodchikov Equation in Tensor Products of Irreducible sl2-Modules

  • E. Mukhin
  • A. Varchenko
Part of the CRM Series in Mathematical Physics book series (CRM)


We consider the quantized Knizhnik—Zamolodchikov difference equation (qKZ) with values in a tensor product of irreducible sl2-modules, the equation defined in terms of rational R-matrices. We solve the equation in terms of multidimensional q-hypergeometric integrals. We identify the space of solutions of the qKZ equation with the tensor product of the corresponding modules over the quantum group U q sl2. We compute the monodromy of the qKZ equation in terms of the trigonometric R-matrices.


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© Springer Science+Business Media New York 2000

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  • E. Mukhin
  • A. Varchenko

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