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On the quantization of isomonodromic deformations on the torus | | D.A. Korotkin
; J.A.H. Samtleben
; | | Date: |
13 Nov 1995 | | Journal: | Int.J.Mod.Phys. A12 (1997) 2013-2030 | | Subject: | hep-th | | 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. | | Source: | arXiv, hep-th/9511087 | | Services: | Forum | Review | PDF | Favorites | |
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