Communications in Contemporary Mathematics ( IF 1.278 ) Pub Date : 2020-08-12 , DOI: 10.1142/s0219199720500364
Victor G. Kac; Pierluigi Möseneder Frajria; Paolo Papi

We prove that the singularities of the $R$-matrix $R(k)$ of the minimal quantization of the adjoint representation of the Yangian $Y(𝔤)$ of a finite dimensional simple Lie algebra $𝔤$ 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 $𝔤$.

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