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arXiv · hep-th/9511087

On the quantization of isomonodromic deformations on the torus

D. A. Korotkin·J. A. H. Samtleben
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Abstract

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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D. A. Korotkin, J. A. H. Samtleben. 1995-11-13. On the quantization of isomonodromic deformations on the torus. https://doi.org/10.1142/s0217751x97001274

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