
TL;DR
This paper surveys the development of quantum vertex algebras, detailing their conceptual construction, modules, and connections to double Yangians and Zamolodchikov-Faddeev algebras, highlighting recent theoretical advances.
Contribution
It provides a comprehensive overview of quantum vertex algebra theory, including new constructions and links to important algebraic structures.
Findings
Constructed quantum vertex algebras conceptually
Connected double Yangians with quantum vertex algebras
Linked Zamolodchikov-Faddeev algebras to quantum vertex algebras
Abstract
We give a survey on the developments in a certain theory of quantum vertex algebras, including a conceptual construction of quantum vertex algebras and their modules and a connection of double Yangians and Zamolodchikov-Faddeev algebras with quantum vertex algebras.
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