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

Quantum Algebra 2019-09-04 v1 Mathematical Physics math.MP

Abstract

We discuss the quantization of the sl^2\widehat{\mathfrak{sl}}_2 coset vertex operator algebra WD(2,1;α)\mathcal{W}D(2,1;\alpha) 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 gl2{\mathfrak{gl}}_2.

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Cite

@article{arxiv.1811.02056,
  title  = {Towards trigonometric deformation of $\widehat{\mathfrak{sl}}_2$ coset VOA},
  author = {B. Feigin and M. Jimbo and E. Mukhin},
  journal= {arXiv preprint arXiv:1811.02056},
  year   = {2019}
}

Comments

Latex, 20 pages