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

Gen Kuroki

doi:10.1007/BF02099099

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

Gen Kuroki

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

36 Citations (Scopus)

Abstract

Fock space representations of affine Lie algebras are studied. Explicit forms of correction terms adding to the currents F_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.

Original language	English
Pages (from-to)	511-542
Number of pages	32
Journal	Communications in Mathematical Physics
Volume	142
Issue number	3
DOIs	https://doi.org/10.1007/BF02099099
Publication status	Published - 1991 Dec

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1007/BF02099099

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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.",

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AB - 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.

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

Abstract

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