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\(q\)-deformation of the Virasoro algebra and lattice conformal theories - MaRDI portal

\(q\)-deformation of the Virasoro algebra and lattice conformal theories (Q1303358)

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scientific article; zbMATH DE number 1337592
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English
\(q\)-deformation of the Virasoro algebra and lattice conformal theories
scientific article; zbMATH DE number 1337592

    Statements

    \(q\)-deformation of the Virasoro algebra and lattice conformal theories (English)
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    29 September 1999
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    A self-consistent and abstract definition of the \(q\)-deformed Virasoro and superconformal symmetries is given. Some additional Lie-algebraic symmetries are found to describe a lattice version of the continual theory. Various \(q\)-deformations of free bosons and free fermions are considered in detail. Some relations with the lattice version of the Faddeev-Takhtadjan-Volkov analog of a Virasoro algebra is pointed out.
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    superconformal algebra
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    Virasoro algebra
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    Moyal algebra
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    free boson
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