将量子 affine 顶点代数的变形 $ϕ$-协调模与正交扭曲 $h$-Yangians 关联
Associating deformed $ϕ$-coordinated modules for the quantum affine vertex algebra with orthogonal twisted $h$-Yangians
AI总结：
本文通过引入变形 $ϕ$-协调模的概念，将量子 affine 顶点代数与正交扭曲 $h$-Yangians 关联，并展示其应用。
摘要：
我们考虑与三角 $R$-矩阵类型 $A$ 关联的 Etingof-Kazhdan 量子顶点代数 $\mathcal{V}^c(\mathfrak{gl}_N)$。通过结合 Li 关于 $ϕ$-协调模的理论和我们之前论文中的想法，我们引入了变形 $ϕ$-协调量子顶点代数模的概念。我们展示正交扭曲 $h$-Yangians 和广义正交扭曲 $h$-Yangians 的限制模可以配备为 (截断) 变形 $ϕ$-协调 $\mathcal{V}^c(\mathfrak{gl}_N)$-模，并展示其应用。
英文摘要：
We consider the Etingof-Kazhdan quantum vertex algebra $\mathcal{V}^c(\mathfrak{gl}_N)$ associated with the trigonometric $R$-matrix of type $A$. By combining Li's theory of $ϕ$-coordinated modules and the ideas from our previous paper, we introduce the notion of deformed $ϕ$-coordinated quantum vertex algebra module. We show that the orthogonal twisted $h$-Yangians and restricted modules for the generalized orthogonal twisted $h$-Yangians can be equipped with the structure of (truncated) deformed $ϕ$-coordinated $\mathcal{V}^c(\mathfrak{gl}_N)$-module and demonstrate its applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
