Towards trigonometric deformation of 𝔰𝔩ˆ2 coset VOA

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2019
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English
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Abstract

We discuss the quantization of the 𝔰𝔩ˆ2 coset vertex operator algebra 𝒲D(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 with 𝔤𝔩2.

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Feigin, B., Jimbo, M., & Mukhin, E. (2019). Tracking Towards trigonometric deformation of s l ^ 2 coset VOA. Journal of Mathematical Physics, 60(7), 073507. https://doi.org/10.1063/1.5081799
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Journal of Mathematical Physics
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