Boundary quantum group generators of type A

Abstract

We construct boundary quantum group generators which, through linear intertwining relations, determine nondiagonal solutions of the boundary Yang-Baxter equation for the cases A^1_{n-1} and A^2_2.

7 pages, LaTeX; amssymb, no figures

References in corpus (3)

• Quantum group symmetry in sine-Gordon and affine Toda field theories on the half-line
• Solutions of the boundary Yang-Baxter equation for arbitrary spin
• $A_{n-1}^{(1)}$ Reflection K-Matrices

Cited by in corpus (31)

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• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• The Bethe Ansatz Equations for Reflecting Magnons
• $C_n^{(1)}$, $D_n^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices
• On reflection algebras and twisted Yangians
• Boundary non-local charges from the open spin chain
• $A_{n-1}^{(1)}$ Reflection K-Matrices
• Complete spectrum of quantum integrable lattice models associated to ${\mathcal{U}}_q(\widehat{g{l}_n})$ by separation of variables
• B_{n}^{(1)} and A_{2n}^{(2)}reflection K-matrices
• Generalized q-Onsager Algebras and Dynamical K-matrices
• Discrete holomorphicity and quantized affine algebras
• Solutions of the reflection equations for the $U_q[G_2]$ vertex model
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• Exact solution of an su(n) spin torus
• On the ${\mathcal{U}}_q[sl(2)]$ Temperley-Lieb reflection matrices
• N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
• On boundary fusion and functional relations in the Baxterized affine Hecke algebra
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• A representation basis for the quantum integrable spin chain associated with the su(3) algebra
• Reflection matrices with $U_q[os{p}^{(2)}(2|2m)]$ symmetry
• Spectral equivalences and symmetry breaking in integrable SU_q(N) spin chains with boundaries
• Reflection $K$ matrices associated with an Onsager coideal of $U_p(A_{n-1}^{(1)})$, $U_p(B_n^{(1)})$, $U_p(D_n^{(1)})$ and $U_p(D_{n+1}^{(2)})$
• Reflection equation for the N=3 Cremmer-Gervais R-matrix
• Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields
• Exact solution of the Izergin-Korepin Gaudin model with periodic and open boundaries
• Nonstandard representations of type C affine Hecke algebra from K-operators
• Quantum group symmetry of integrable models on the half-line