Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles

Hecke Transformations of Conformal Blocks in WZW Theory. I. KZB Equations for Non-Trivial Bundles

We describe new families of the Knizhnik-Zamolodchikov-Bernard (KZB) equations related to the WZW-theory corresponding to the adjoint $G$-bundles of different topological types over complex curves $Sigma_{g,n}$ of genus $g$ with $n$ marked points. The bundles are defined by their characteristic clas...

Full description

Bibliographic Details
Main Authors: Andrey M. Levin, Mikhail A. Olshanetsky, Andrey V. Smirnov, Andrei V. Zotov
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
integrable system
KZB equation
Hitchin system
characteristic class
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.095

Internet

http://dx.doi.org/10.3842/SIGMA.2012.095

Similar Items