A Note on Constructing Quasi Modules for Quantum Vertex Algebras from Twisted Yangians

In this note, we consider the twisted Yangians $\text{Y}(\mathfrak{g}_N)$ associated with orthogonal and symplectic Lie algebras $\mathfrak{g}_N=\mathfrak{o}_N,\mathfrak{sp}_N$. First, introduce a certain subalgebra $\text{A}_c(\mathfrak{g}_N)$ of double Yangian for $\mathfrak{gl}_N$ at level $c\in\mathbb{C}$, which contains centrally extended $c$ as well its vacuum module $\mathcal{M}_c(\mathfrak{g}_N)$. Next, employ structure to construct examples quasi modules quantum affine vertex algebra $\mathcal{V}_c(\mathfrak{gl}_N)$ Yang $R$-matrix. Finally, use description center obtain explicit formulae families central elements completion invariants