Braid group action and quantum affine superalgebra for type osp(2m+1|2n)

In this paper, we investigate the structure of the quantum affine superalgebra associated with the orthosymplectic Lie superalgebra osp(2m+1|2n) for m ⩾ 1. The Drinfeld-Jimbo presentation for this algebra, denoted as Uq[osp(2m+1|2n)(1)], was originally introduced by Yamane. We provide the definition of the Drinfeld presentation Uq[osp(2m+1|2n)(1)]. To establish the isomorphism between the Drinfeld-Jimbo presentation and the Drinfeld presentation of the quantum affine superalgebra for type osp(2m+1|2n), we introduce a braid group action to define quantum root vectors of the quantum superalgebra. Specifically, we present an efficient method for verifying the isomorphism between two presentations of the quantum affine superalgebra associated with the type osp(2m+1|2n).