Quantum vertex $C((t))$-algebras and quantum affine algebras

TL;DR

This paper reviews the theory of quantum vertex algebras over formal Laurent series and their connection to quantum affine algebras, highlighting the algebraic structures and their relationships.

Contribution

It provides a comprehensive summary of quantum vertex $ ext{C}((t))$-algebras and their association with quantum affine algebras, clarifying their theoretical framework.

Findings

Established the structure of quantum vertex $ ext{C}((t))$-algebras

Linked quantum affine algebras with quantum vertex algebras

Summarized key properties and relations

Abstract

We give a summary of the theory of (weak) quantum vertex $\C((t))$-algebras and the association of quantum affine algebras with (weak) quantum vertex $\C((t))$-algebras.