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Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation

High Energy Physics - Theory 2008-02-03 v3 Quantum Algebra

Abstract

The quantized Knizhnik-Zamolodchikov equations associated with the trigonometric R-matrix or the rational R-matrix of the A-type are considered. Jackson integral representations for solutions of these equations are described. Asymptotic solutions for a holonomic system of difference equations are constructed. Relations between the integral representations and the Bethe ansatz are indicated.

Keywords

Cite

@article{arxiv.hep-th/9311040,
  title  = {Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation},
  author = {Vitaly Tarasov and Alexander Varchenko},
  journal= {arXiv preprint arXiv:hep-th/9311040},
  year   = {2008}
}

Comments

50 pages. (Misprints are corrected.)