R-Matrix presentation of quantum affine algebra in type $A_{2n-1}^{(2)}$

TL;DR

This paper introduces an RTT presentation for the twisted quantum affine algebra of type A_{2n-1}^{(2)} and proves its isomorphism to the Drinfeld realization, marking a novel development for such algebras.

Contribution

It provides the first RTT presentation for twisted quantum affine algebras with nontrivial central elements and establishes their isomorphism to the Drinfeld realization.

Findings

Established RTT presentation for type A_{2n-1}^{(2)}

Proved isomorphism to Drinfeld realization

First such presentation for twisted quantum affine algebras with nontrivial center

Abstract

In this paper, we give an RTT presentation of the twisted quantum affine algebra of type $A_{2n-1}^{(2)}$ and show that it is isomorphic to the Drinfeld new realization via the Gauss decomposition of the L-operators. This provides the first such presentation for twisted quantum affine algebras with nontrivial central element.