Fock space representations of affine Lie algebras are studied. Explicit forms of correction terms adding to the currents Fi(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.
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics