Free field representation of quantum affine algebra

1992/08/31 by Atsushi Matsuo, A. Matsuo · 2 citations
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #hep-th

paper · pdf · doi:10.1016/0370-2693(93)91282-r

published as Phys.Lett. B308 (1993) 260-265 · 11 pages

arxiv created 1992/08/31 · openalex publication_date 1993/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A Fock representation of the quantum affine algebra U_q(\widehat\sl₂) is constructed by three bosonic fields for an arbitrary level with the help of the Drinfeld realization.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Fock representations of the affine Lie algebraA 1 (1)

Cited by

• Free field realization of the quantum toroidal algebra of \mathfrakgl₁ with general levels
• Free boson representation of DYℏ(glN)k and DYℏ(slN)k