On the quantization of isomonodromic deformations on the torus

Details On the quantization of isomonodromic deformations on the torus On the quantization of isomonodromic deformations on the torus

1995-11-13

arxiv.org/abs/hep-th/9511087v1

Int.J.Mod.Phys. A12 (1997) 2013-2030

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTex2e

Scientific paper

The quantization of isomonodromic deformation of a meromorphic connection on the torus is shown to lead directly to the Knizhnik-Zamolodchikov-Bernard equations in the same way as the problem on the sphere leads to the system of Knizhnik-Zamolodchikov equations. The Poisson bracket required for a Hamiltonian formulation of isomonodromic deformations is naturally induced by the Poisson structure of Chern-Simons theory in a holomorphic gauge fixing. This turns out to be the origin of the appearance of twisted quantities on the torus.

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