Quadratic Relations of the Deformed 𝑊-Algebra for the Twisted Affine Lie Algebra of Type 𝐴⁽²⁾₂N
| dc.contributor.author | Kojima, Takeo | |
| dc.date.accessioned | 2026-01-09T12:41:40Z | |
| dc.date.issued | 2022 | |
| dc.description.abstract | 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 affine Lie algebra 𝐴⁽²⁾₂N. We obtain a closed set of quadratic relations and duality, which allows us to define the deformed 𝑊-algebra 𝒲ₓ,ᵣ(𝐴⁽²⁾₂N) using generators and relations. | |
| dc.description.sponsorship | The author would like to thank Professor Michio Jimbo for his kind and courteous advice. The author would like to thank the referees for their careful reading of the paper and their helpful comments. The author would like to thank Editage (www.editage.com) for English language editing. This work was supported by JSPS KAKENHI (Grant Number JP19K03509). | |
| dc.identifier.citation | 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 | |
| dc.identifier.doi | https://doi.org/10.3842/SIGMA.2022.072 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2020 Mathematics Subject Classification: 81R10; 81R12; 81R50; 81T40; 81U15 | |
| dc.identifier.other | arXiv:2108.13883 | |
| dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/211716 | |
| dc.language.iso | en | |
| dc.publisher | Інститут математики НАН України | |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.status | published earlier | |
| dc.title | Quadratic Relations of the Deformed 𝑊-Algebra for the Twisted Affine Lie Algebra of Type 𝐴⁽²⁾₂N | |
| dc.type | Article |
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