Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N
We revisit the free field construction of the deformed -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic -current has been identified. Herein, we establish a free field construction of higher -currents of the deformed -algebra associated with the twisted affin...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2022 |
| ISSN: | 1815-0659 |
| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2022
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211716 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Quadratic Relations of the Deformed -Algebra for the Twisted Affine Lie Algebra of Type ⁽²⁾₂N. Takeo Kojima. SIGMA 18 (2022), 072, 36 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We revisit the free field construction of the deformed -algebra by Frenkel and Reshetikhin [Comm. Math. Phys. 197 (1998), 1-32], where the basic -current has been identified. Herein, we establish a free field construction of higher -currents of the deformed -algebra associated with the twisted affine Lie algebra ⁽²⁾₂N. We obtain a closed set of quadratic relations and duality, which allows us to define the deformed -algebra ₓ,ᵣ(⁽²⁾₂N) using generators and relations.
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| ISSN: | 1815-0659 |