Knizhnik-Zamolodchikov-Bernard equations as a quantization of nonstationary Hitchin system
D. Ivanov
Abstract
The KZB equations for conformal blocks of the WZNW theory are written on the moduli space of holomorphic principal bundles on the surface. They become the multi-time Schroedinger equation for the nonstationary Hitchin system. From the known form of the equations we learn about the covariance of quantization with respect to changes of the coordinate frame.
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