Monodromy of Solutions of the Knizhnik-Zamolodchikov Equation:

  title={Monodromy of Solutions of the Knizhnik-Zamolodchikov Equation:},
  author={B{\'e}n{\'e}dicte Ponsot},
Three explicit and equivalent representations for the monodromy of the conformal blocks in the SL(2,C)/SU(2) WZNW model are proposed in terms of the same quantity computed in Liouville field theory. We show that there are two possible fusion matrices in this model. This is due to the fact that the conformal blocks, being solutions to the Knizhnik-Zamolodchikov equation, have a singularity when the SL(2,C) isospin coordinate x equals the worldsheet variable z. We study the asymptotic behaviour… CONTINUE READING