$h$-adic quantum vertex algebras in types $B$, $C$, $D$ and their $\varphi$-coordinated modules

Abstract

We introduce the $h$-adic quantum vertex algebras associated with the trigonometric $R$-matrices in types $B$, $C$ and $D$, thus generalizing the well-known Etingof-Kazhdan construction in type $A$. We show that restricted modules for quantum affine algebras in types $B$, $C$ and $D$ are naturally equipped with the structure of $\varphi$-coordinated module for the aforementioned $h$-adic quantum vertex algebras.

22 pages, comments are welcome

References in corpus (3)

• Field Algebras
• On Some Lie Bialgebra Structures on Polynomial Algebras and their Quantization
• $(G,{\chi }_{\varphi })$-equivariant $\varphi$-coordinated quasi modules for nonlocal vertex algebras

Cited by in corpus (2)

• Quantum affine vertex algebras associated to untwisted quantum affinization algebras
• On the $h$-adic quantum vertex algebras associated with Hecke symmetries