Knizhnik-Zamolodchikov-Bernard equations as a quantization of nonstationary Hitchin system

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, TeX

Scientific paper

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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