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arXiv · 1811.02056

Towards trigonometric deformation of $\widehat{\mathfrak{sl}}_2$ coset VOA

B. Feigin·M. Jimbo·E. Mukhin
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Abstract

We discuss the quantization of the $\widehat{\mathfrak{sl}}_2$ coset vertex operator algebra $\mathcal{W}D(2,1;α)$ using the bosonization technique. We show that after quantization there exist three families of commuting integrals of motion coming from three copies of the quantum toroidal algebra associated to ${\mathfrak{gl}}_2$.

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B. Feigin, M. Jimbo, E. Mukhin. 2018-11-05. Towards trigonometric deformation of $\widehat{\mathfrak{sl}}_2$ coset VOA. https://doi.org/10.1063/1.5081799

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