Abstract
Fock space representations of affine Lie algebras are studied. Explicit forms of correction terms adding to the currentsF i (z) are determined. It is proved that the Sugawara energy-momentum tensor on the Fock spaces is quadratic in free bosons. Furthermore, screening operators are constructed. This implies the existence of generalized hypergeometric integrals satisfying the Knizhnik-Zamolodchikov equation.
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