On Free Boson Representations of the Quantum Affine Algebra $U_q(\widehat{\sl}_2)$
Kazuhiro Kimura
TL;DR
This paper presents a boson representation of the quantum affine algebra $U_q(\uhat{ ext{sl}}_2)$ using the Wakimoto construction, exploring its connections with other boson representations.
Contribution
It introduces a new boson representation of $U_q(()$ based on Wakimoto construction and analyzes its relation to existing representations.
Findings
Established a boson representation of $U_q(()$
Compared the new representation with existing boson representations
Discussed the algebraic relations and differences
Abstract
A boson representation of the quantum affine algebra is realized based on the Wakimoto construction. We discuss relations with the other boson representations.
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Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Algebraic structures and combinatorial models · Quantum Information and Cryptography