Twisted quantum affine algebras and solutions to the Yang-Baxter equation

Abstract

We construct spectral parameter dependent R-matrices for the quantized enveloping algebras of twisted affine Lie algebras. These give new solutions to the spectral parameter dependent quantum Yang-Baxter equation.

Latex 24 pages. Misprints in eqs.(4.26) and (A.11) are corrected, cosmetic changes from "affine Kac-Moody algebras" to "affine Lie algebras" are made throughout the paper following a suggestion by M.B. Halpern, and one reference is added

References in corpus (1)

• On the Construction of Trigonometric Solutions of the Yang-Baxter Equation

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• Unified algebraic Bethe ansatz for two-dimensional lattice models
• Trigonometric S-Matrices, Affine Toda Solitons and Supersymmetry
• The continuum limit of $a_{N-1}^{(2)}$ spin chains
• Twisted Quantum Affine Superalgebra $U_q[gl(m|n{)}^{(2)}]$ and New $U_q[osp(m|n)]$ Invariant R-matrices
• Integrability and braided tensor categories
• Solutions of the Yang-Baxter equation: descendants of the six-vertex model from the Drinfeld doubles of dihedral group algebras
• R-matrices and Tensor Product Graph Method
• Remarks on excited states of affine Toda solitons
• Quasi-Spin Graded-Fermion Formalism and $gl(m|n)\downarrow osp(m|n)$ Branching Rules
• Intertwiners of representations of twisted quantum affine algebras
• On the algebraic Bethe ansatz: Periodic boundary conditions
• Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields
• Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions
• Twisted Quantum Affine Algebras
• Quantum affine Toda solitons
• R-matrices for the adjoint representations of Uq(so(n))