1997/09/02 by Xiang-Mao Ding, X. M. Ding, B. Y. Hou +4
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Affine transformation #Algebra over a field #Algebraic structures and combinatorial models #Boson #Combinatorics #Lie algebra #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Modulo #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Realization (probability) #Vertex (graph theory) #Yangian #hep-th #math.QA #q-alg
paper · pdf · doi:10.1063/1.532288
published as J.Math.Phys.39:2273-2289,1998 · 19pages, Latex, no figures
arxiv created 1997/09/02 · openalex publication_date 1998/04/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct a realization of the Yangian double DYℏ(glN)k and DYℏ(slN)k for an arbitrary level k in terms of free boson fields with a continuous parameter. In the ℏ→0 limit this realization becomes the Wakimoto realization of affine Lie algebras glN and slN, respectively. The vertex operators and the screening currents are also constructed with the same spirits; the screening currents commute with DYℏ(slN) modulo total difference.