Twisted Representations of Algebra of 𝑞-Difference Operators, Twisted 𝑞-𝑊 Algebras and Conformal Blocks
We study certain representations of the quantum toroidal 𝖌𝔩₁ algebra for 𝑞 = 𝘵. We construct explicit bosonization of the Fock modules 𝓕⁽ⁿ′'ⁿ⁾ᵤ with a nontrivial slope 𝑛′/𝑛. As a vector space, it is naturally identified with the basic level 1 representation of affine 𝖌𝔩ₙ. We also study twisted...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2020 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2020
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/210771 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Twisted Representations of Algebra of 𝑞-Difference Operators, Twisted 𝑞-𝑊 Algebras and Conformal Blocks. Mikhail Bershtein and Roman Gonin. SIGMA 16 (2020), 077, 55 pages |