Length-two representations of quantum affine superalgebras and Baxter operators

Abstract

Associated to quantum affine general linear Lie superalgebras are two families of short exact sequences of representations whose first and third terms are irreducible: the Baxter TQ relations involving infinite-dimensional representations; the extended T-systems of Kirillov--Reshetikhin modules. We make use of these representations over the full quantum affine superalgebra to define Baxter operators as transfer matrices for the quantum integrable model and to deduce Bethe Ansatz Equations, under genericity conditions.

arXiv comment41 pages, published version

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Cited by in corpus (6)

• Jacobi-Trudi identity and Drinfeld functor for super Yangian
• Asymptotic Representations of Quantum Affine Superalgebras
• Yangians and Baxter's relations
• A functor for constructing $R$-matrices in the category $\mathcal{O}$ of Borel quantum loop algebras
• Elliptic quantum groups and Baxter relations
• Theta series for quantum loop algebras and Yangians