Exact solution of the $A_{n-1}^{(1)}$ trigonometric vertex model with non-diagonal open boundaries

Abstract

The $A_{n-1}^{(1)}$ trigonometric vertex model with {\it generic non-diagonal} boundaries is studied. The double-row transfer matrix of the model is diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the corresponding face-vertex relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained.

Latex file, 25 pages; V2: minor typos corrected, the version appears in JHEP

References in corpus (4)

• Exact solution of the XXZ Gaudin model with generic open boundaries
• Solution of the SU(N) Vertex Model with Non-Diagonal Open Boundaries
• $Z_n$ elliptic Gaudin model with open boundaries
• Non-diagonal solutions of the reflection equation for the trigonometric $A_{n-1}^{(1)}$ vertex model

Cited by in corpus (26)

• Holographic models of de Sitter QFTs
• $T$-$Q$ relation and exact solution for the XYZ chain with general nondiagonal boundary terms
• Exact solution of the open XXZ chain with general integrable boundary terms at roots of unity
• Spectrum and Bethe ansatz equations for the U_ {q}(gl(N)) closed and open spin chains in any representation
• Bethe Ansatz derived from the functional relations of the open XXZ chain for new special cases
• $A_{n-1}$ Gaudin model with open boundaries
• Nested off-diagonal Bethe ansatz and exact solutions of the su(n) spin chain with generic integrable boundaries
• Complete Bethe Ansatz solution of the open spin-s XXZ chain with general integrable boundary terms
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Bethe ansatz of the open spin-s XXZ chain with nondiagonal boundary terms
• Nested Bethe ansatz for `all' open spin chains with diagonal boundary conditions
• Non-diagonal solutions of the reflection equation for the trigonometric $A_{n-1}^{(1)}$ vertex model
• Multiple reference states and complete spectrum of the $Z_n$ Belavin model with open boundaries
• Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
• Nested Bethe ansatz for Y(gl(n)) open spin chains with diagonal boundary conditions
• Determinant representations of scalar products for the open XXZ chain with non-diagonal boundary terms
• Generalized T-Q relations and the open XXZ chain
• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Drinfeld twists of the open XXZ chain with non-diagonal boundary terms
• The algebraic Bethe ansatz for open vertex models
• Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
• Nested algebraic Bethe ansatz for open GL(N) spin chains with projected K-matrices
• Boundary energy of the general open XXZ chain at roots of unity
• The algebraic Bethe ansatz for open A_{2n}^{(2)} vertex model
• Exact solution of a quantum integrable system associated with the $G_2$ exceptional Lie algebra
• Drinfeld twist and symmetric Bethe vectors of the open XYZ chain with non-diagonal boundary terms