Twisted quantum affinizations and their vertex representations

TL;DR

This paper generalizes twisted quantum affine algebras to all simply-laced cases and constructs their vertex representations, expanding the understanding of quantum algebra structures.

Contribution

It introduces a unified approach to twisted quantum affine algebras for all simply-laced types and provides explicit vertex representation realizations.

Findings

Construction of twisted quantum algebras for all simply-laced types

Explicit vertex representation realizations

Extension of Drinfeld's framework to new algebra classes

Abstract

In this paper we generalize Drinfeld's twisted quantum affine algebras to construct twisted quantum algebras for all simply-laced generalized Cartan matrices and present their vertex representation realizations.