Associating deformed φ-coordinated modules for the quantum affine vertex algebra with orthogonal twisted h-Yangians

We consider the Etingof-Kazhdan quantum vertex algebra Vᶜ(glN) 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 Vᶜ(glN)-module and demonstrate its applications.