On the quantization of isomonodromic deformations on the torus
High Energy Physics - Theory
2015-06-26 v1
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.
Keywords
Cite
@article{arxiv.hep-th/9511087,
title = {On the quantization of isomonodromic deformations on the torus},
author = {D. A. Korotkin and J. A. H. Samtleben},
journal= {arXiv preprint arXiv:hep-th/9511087},
year = {2015}
}
Comments
13 pages, LaTex2e