Difference L operators and a Casorati determinant solution to the T-system for twisted quantum affine algebras

Abstract

We propose factorized difference operators L(u) associated with the twisted quantum affine algebras U_{q}(A^{(2)}_{2n}),U_{q}(A^{(2)}_{2n-1}), U_{q}(D^{(2)}_{n+1}),U_{q}(D^{(3)}_{4}). These operators are shown to be annihilated by a screening operator. Based on a basis of the solutions of the difference equation L(u)w(u)=0, we also construct a Casorati determinant solution to the T-system for U_{q}(A^{(2)}_{2n}),U_{q}(A^{(2)}_{2n-1}).

15 pages

References in corpus (4)

• Analytic Bethe ansatz and functional equations associated with any simple root systems of the Lie superalgebra sl(r+1|s+1)
• Analytic Bethe ansatz and functional equations for Lie superalgebra sl(r+1|s+1)
• Analytic Bethe ansatz and functional relations related to tensor-like representations of type II Lie superalgebras B(r|s) and D(r|s)
• Analytic Bethe ansatz related to the Lie superalgebra C(s)

Cited by in corpus (7)

• T-systems and Y-systems in integrable systems
• Solutions of the T-system and Baxter equations for supersymmetric spin chains
• Wronskian solutions of the T, Q and Y-systems related to infinite dimensional unitarizable modules of the general linear superalgebra gl(M|N)
• Extended systems of Baxter Q-functions and fused flags I: simply-laced case
• Folding QQ-relations and transfer matrix eigenvalues: towards a unified approach to Bethe ansatz for super spin chains
• Linear recurrence relations in $Q$-systems and difference $L$-operators
• Boson-Fermion correspondence, QQ-relations and Wronskian solutions of the T-system