𝑅-Matrix Presentation of Quantum Affine Superalgebra for Type 𝔬𝔰𝔭(2𝑚 + 1|2𝑛)

Abstract

In our preceding research, we introduced the Drinfeld presentation of the quantum affine superalgebra associated to the orthosymplectic Lie superalgebra 𝔬𝔰𝔭(2𝑚 + 1|2𝑛) for 𝑚 > 0. We provided the isomorphism between its Drinfeld-Jimbo presentation and Drinfeld presentation using braid group actions as a fundamental method. Based on this work, our current study delves into its 𝑅-matrix presentation, wherein we establish a clear isomorphism between the 𝑅-matrix presentation and the Drinfeld presentation. In particular, our contribution extends the investigations of Jing, Liu, and Molev concerning quantum affine algebra in type BCD to the realm of supersymmetry.