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• W2000655226 abstract "We generalize some results concerning affine algebras at the critical level to the corresponding quantum algebras. In particular, we show that the Wakimoto realization provides a homomorphism of Poisson algebras from the center of a quantum affine algebra to a Heisenberg-Poisson algebra. This homomorphism is a q-deformation of the Miura transformation. It is given by the same formulas as the spectra of transfer-matrices of the corresponding quantum integrable models. The image of the center in the Heisenberg-Poisson algebra is a Poisson subalgebra of the latter, which is a q-deformation of the corresponding classical W-algebra. The relations in this Poisson algebra are explicitly computed in the case of sl(n)^." @default.
• W2000655226 created "2016-06-24" @default.
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• W2000655226 date "1996-05-01" @default.
• W2000655226 modified "2023-09-26" @default.
• W2000655226 title "Quantum affine algebras and deformations of the Virasoro and 237-1237-1237-1" @default.
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• W2000655226 doi "https://doi.org/10.1007/bf02104917" @default.
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