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Register a new userKnizhnik-Zamolodchikov-Bernard equations on Riemann surfaces
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Authors
D. Ivanov
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Knizhnik-Zamolodchikov-Bernard equations for twisted conformal blocks on compact Riemann surfaces with marked points are written explicitly in a general projective structure in terms of correlation functions in the theory of twisted b-c systems. It is checked that on the moduli space the equations provide a flat connection with the spectral parameter.
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We explicitly write dowm integral formulas for solutions to Knizhnik-Zamolodchikov equations with coefficients in non-bounded -- neither highest nor lowest weight -- $gtsl_{n+1}$-modules. The formulas are closely related to WZNW model at a rational level.
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