Quadratic Relations of the Deformed 𝑊-Algebra for the Twisted Affine Lie Algebra of Type 𝐴⁽²⁾₂N

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• Main Author: Kojima, Takeo
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211716
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Quadratic Relations of the Deformed 𝑊-Algebra for the Twisted Affine Lie Algebra of Type 𝐴⁽²⁾₂N. Takeo Kojima. SIGMA 18 (2022), 072, 36 pages

We revisit the free field construction of the deformed 𝑊-algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic 𝑊-current has been identified. Herein, we establish a free field construction of higher 𝑊-currents of the deformed 𝑊-algebra associated with the twisted a...