Logarithmic \(\widehat{s\ell}(2)\) CFT models from Nichols algebras. I (Q2871987)

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scientific article; zbMATH DE number 6244947
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Logarithmic \(\widehat{s\ell}(2)\) CFT models from Nichols algebras. I
scientific article; zbMATH DE number 6244947

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    14 January 2014
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    Chiral algebra
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    conformal field theory
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    Hamiltonian reduction
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    isomorphism
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    Logarithmic \(\widehat{s\ell}(2)\) CFT models from Nichols algebras. I (English)
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    Chiral algebras that centralize rank-2 Nichols algebras with at least one fermionic generator are constructed. This gives `logarithmic' \(W\)-algebra extensions of a fractional-level \(\widehat{s\ell}(2)\) algebra. Crucial aspects of the emerging general relation between Nichols algebras and logarithmic conformal field theory (CFT) models are discussed.
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