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

DOI10.1007/BF02099099zbMath0768.17010MaRDI QIDQ1182187

Gen Kuroki

Publication date: 28 June 1992

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

affine Lie algebrasintegral representationsconformal field theoriesFock spacesSugawara energy-momentum tensorKnizhnik-Zamolodchikov equationsgeneralized hypergeometric integralsscreening operators

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Axiomatic quantum field theory; operator algebras (81T05)

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