Twisted Representations of Algebra of π-Difference Operators, Twisted π-π Algebras and Conformal Blocks
We study certain representations of the quantum toroidal ππ©β algebra for π = π΅. We construct explicit bosonization of the Fock modules πβ½βΏβ²'βΏβΎα΅€ with a nontrivial slope πβ²/π. As a vector space, it is naturally identified with the basic level 1 representation of affine ππ©β. 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: |
ΠΠ½ΡΡΠΈΡΡΡ ΠΌΠ°ΡΠ΅ΠΌΠ°ΡΠΈΠΊΠΈ ΠΠΠ Π£ΠΊΡΠ°ΡΠ½ΠΈ
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 π-Difference Operators, Twisted π-π Algebras and Conformal Blocks. Mikhail Bershtein and Roman Gonin. SIGMA 16 (2020), 077, 55 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | We study certain representations of the quantum toroidal ππ©β algebra for π = π΅. We construct explicit bosonization of the Fock modules πβ½βΏβ²'βΏβΎα΅€ with a nontrivial slope πβ²/π. As a vector space, it is naturally identified with the basic level 1 representation of affine ππ©β. We also study twisted π-algebras of sπ©n acting on these Fock modules. As an application, we prove the relation on π-deformed conformal blocks, which was conjectured in the study of π-deformation of isomonodromy/CFT correspondence.
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| ISSN: | 1815-0659 |