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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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
Hauptverfasser: Bershtein, Mikhail, Gonin, Roman
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/210771
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren: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

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