Fock space representations of affine lie algebras and integral representations in the Wess-Zumino-Witten models

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Abstract

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.

Original languageEnglish
Pages (from-to)511-542
Number of pages32
JournalCommunications in Mathematical Physics
Volume142
Issue number3
DOIs
Publication statusPublished - 1991 Dec 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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