On Free Boson Representations of the Quantum Affine Algebra U_q(\widehat\sl₂)

1992/12/05 by Kazuhiro Kimura, Kimura, Kazuhiro
Computer Science · Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9212039

12pages

arxiv created 1992/12/05 · openalex publication_date 1992/12/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A boson representation of the quantum affine algebra U_q(\widehat\sl₂) is realized based on the Wakimoto construction. We discuss relations with the other boson representations.

Related

• Free Boson Representation of U_q(sl₂)
• Level one representations of U_q(G₂⁽¹⁾)
• Bosonization of Admissible Representations of U_q(\widehatsl₂) at Level -(1)/(2) and q-Vertex Operators
• Bosonization of quantum affine groups and its application to the higher spin Heisenberg model
• Quantum Affine Algebras and their Representations