Free field representation for the classical limit of the quantum affine algebra

1992/09/30 by Sergei Lukyanov, Sergei L. Lukyanov, Samson L. Shatashvili · 2 citations
Computer Science · Engineering · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Optical Network Technologies #Quantum Information and Cryptography #hep-th

paper · pdf · doi:10.1016/0370-2693(93)91715-y

published as Phys.Lett. B298 (1993) 111-115 · 7p, IASSNS-HEP-92/62, RU-92/37

arxiv created 1992/09/30 · openalex publication_date 1993/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Free field representation for the classical limit of quantum affine algebra is constructed by simple deformation of the known expressions from WZW theory.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Infinite conformal symmetry in two-dimensional quantum field theory
• Fock representations of the affine Lie algebraA 1 (1)

Cited by

• Non-integrable quantum field theories as perturbations of certain integrable models
• Particle-field duality and form factors from vertex operators