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

研究成果: Article査読

36 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)511-542
ページ数32
ジャーナルCommunications in Mathematical Physics
142
3
DOI
出版ステータスPublished - 1991 12月

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学

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