Yangians versus minimal W-algebras: A surprising coincidence

Abstract

© 2020 World Scientific Publishing Company. We prove that the singularities of the R-matrix R(k) of the minimal quantization of the adjoint representation of the Yangian Y of a finite dimensional simple Lie algebra 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 .