Spectrum of the quantum integrable $D_2^{(2)}$ spin chain with generic boundary fields

Abstract

Exact solution of the quantum integrable $D_2^{(2)}$ spin chain with generic integrable boundary fields is constructed. It is found that the transfer matrix of this model can be factorized as the product of those of two open staggered anisotropic XXZ spin chains. Based on this identity, the eigenvalues and Bethe ansatz equations of the $D_2^{(2)}$ model are derived via off-diagonal Bethe ansatz.

arXiv comment20 pages

References in corpus (23)

• Strings in AdS_3 and the SL(2,R) WZW Model. Part 1: The Spectrum
• Separation of Variables. New Trends.
• Strings in AdS_3 and the SL(2,R) WZW Model. Part 2: Euclidean Black Hole
• Off-diagonal Bethe ansatz solutions of the anisotropic spin-1/2 chains with arbitrary boundary fields
• Analytical Bethe Ansatz for Quantum-Algebra-Invariant Spin Chains
• Non-diagonal open spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and matrix elements of some quasi-local operators
• Separation of Variables in the open XXX chain
• The Partition Function of the Two-Dimensional Black Hole Conformal Field Theory
• The antiferromagnetic transition for the square-lattice Potts model
• An integrable spin chain for the SL(2,R)/U(1) black hole sigma model
• Functional Bethe ansatz methods for the open XXX chain
• Bethe states of the XXZ spin-1/2 chain with arbitrary boundary fields
• Phase Diagram of an Integrable Alternating $U_q[sl(2|1)]$ Superspin Chain
• Non-Linear Integral Equations for the SL(2,R)/U(1) black hole sigma model
• Integrability of the $D_n^2$ vertex models with open boundary
• $C_n^{(1)}$, $D_n^{(1)}$ and $A_{2n-1}^{(2)}$ reflection K-matrices
• Unified algebraic Bethe ansatz for two-dimensional lattice models
• Integrable boundary conditions in the antiferromagnetic Potts model
• Lattice regularisation of a non-compact boundary conformal field theory
• Towards the solution of an integrable $D_2^{(2)}$ spin chain
• New D_{n+1}^(2) K-matrices with quantum group symmetry
• The spectrum of quantum-group-invariant transfer matrices
• On the complete-spectrum characterization of quantum integrable spin chains via the inhomogeneous T-Q relation

Cited by in corpus (4)

• Integrable boundary conditions for staggered vertex models
• Exact physical quantities of the $D_2^{(2)}$ spin chain model with generic open boundary conditions
• Exact surface energies and boundary excitations of the Izergin-Korepin model with generic boundary fields
• Quantum-group-invariant $D_{n+1}^{(2)}$ models: Bethe ansatz and finite-size spectrum