The affine infinite-product factorization conjecture for universal K-matrices
Let be the universal K-matrix associated with an affine quantum symmetric pair, and let the quasi--matrix be the corresponding universal quasi--matrix of a quantum affine algebra or Yangian. An infinite-product factorization is a factorization of as an infinite ordered product of factors analogous to the corresponding factorization of the quasi--matrix.
Affine factorization conjecture. In affine type, admits an infinite-product factorization analogous to such a factorization of the quasi--matrix of quantum affine algebras and Yangians.
The conjecture is motivated by the absence of explicit universal K-matrix formulae in the affine case and by the abelian behavior in restricted rank one. The source does not state that this factorization has been proved.
References
Primary source
Andrea Appel and Bart Vlaar, “Boundary transfer matrices arising from quantum symmetric pairs”, arXiv:2410.21654 (2025).
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