Functional relations and analytic Bethe ansatz for twisted quantum affine algebras. (English) Zbl 0855.17023
Summary: Functional relations are proposed for transfer matrices of solvable vertex models associated with the twisted quantum affine algebras \(U_q (X_n^{(\kappa)})\), where \(X_n^{(\kappa)}= A_n^{(2)}\), \(D_n^{(2)}\), \(E_6^{(2)}\) and \(D_4^{(3)}\). Their solutions are obtained for \(A_n^{(2)}\) and conjectured for \(D_4^{(3)}\) in the dressed vacuum form of the analytic Bethe ansatz.
MSC:
| 17B81 | Applications of Lie (super)algebras to physics, etc. |
| 17B37 | Quantum groups (quantized enveloping algebras) and related deformations |
| 17B67 | Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras |
| 81R50 | Quantum groups and related algebraic methods applied to problems in quantum theory |
| 82B23 | Exactly solvable models; Bethe ansatz |
