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arXiv · 1912.07404

Yangians vs minimal W-algebras: a surprizing coincidence

Victor G. Kac·Pierluigi Moseneder Frajria·Paolo Papi
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Abstract

We prove that the singularities of the $R$-matrix $R(k)$ of the minimal quantization of the adjoint representation of the Yangian $Y(\mathfrak g)$ of a finite dimensional simple Lie algebra $\mathfrak g$ are the opposite of the roots of the monic polynomial $p(k)$ entering in the OPE expansions of quantum fields of conformal weight $3/2$ of the universal minimal affine $W$-algebra at level $k$ attached to $\mathfrak g$.

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Victor G. Kac, Pierluigi Moseneder Frajria, Paolo Papi. 2019-12-16. Yangians vs minimal W-algebras: a surprizing coincidence. https://arxiv.org/abs/1912.07404

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