New formulae for solutions of quantum Knizhnik–Zamolodchikov equations on level-4

@article{Boos2004NewFF,
  title={New formulae for solutions of quantum Knizhnik–Zamolodchikov equations on level-4},
  author={Herman E. Boos and Vladimir E. Korepin and F. A. Smirnov},
  journal={Journal of Physics A},
  year={2004},
  volume={37},
  pages={323-335}
}
We present a new form of solution to the quantum Knizhnik?Zamolodchikov equation [qKZ] on level-4 in a special case corresponding to the Heisenberg XXX spin chain. Our form is equivalent to the integral representation obtained by Jimbo and Miwa in 1996 [7]. An advantage of our form is that it is reduced to the product of single integrals. This fact is deeply related to a cohomological nature of our formulae. Our approach is also based on the deformation of hyper-elliptic integrals and their… Expand
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