Off-diagonal Bethe Ansatz for the $D_3^{(1)}$ model

Abstract

The exact solutions of the $D_3^{(1)}$ model (or the $so(6)$ quantum spin chain) with either periodic or general integrable open boundary conditions are obtained by using the off-diagonal Bethe Ansatz. From the fusion, the complete operator product identities are obtained, which are sufficient to enable us to determine spectrum of the system. Eigenvalues of the fused transfer matrices are constructed by the $T-Q$ relations for the periodic case and by the inhomogeneous $T-Q$ one for the non-diagonal boundary reflection case. The present method can be generalized to deal with the $D_n^{(1)}$ model directly.

typos are corrected. arXiv admin note: text overlap with arXiv:1902.08891

References in corpus (11)

• Antiperiodic spin-1/2 XXZ quantum chains by separation of variables: Complete spectrum and form factors
• Separation of Variables in the open XXX chain
• Modified algebraic Bethe ansatz for XXZ chain on the segment - I - triangular cases
• Modified algebraic Bethe ansatz for XXZ chain on the segment - II - general cases
• The q-deformed analogue of the Onsager algebra: Beyond the Bethe ansatz approach
• Antiperiodic dynamical 6-vertex model I: Complete spectrum by SOV, matrix elements of the identity on separate states and connections to the periodic 8-vertex model
• Functional Bethe ansatz methods for the open XXX chain
• Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms
• Exact solution of the spin-s Heisenberg chain with generic non-diagonal boundaries
• Off-diagonal Bethe Ansatz on the $so(5)$ spin chain
• Exact solution of the $sp(4)$ integrable spin chain with generic boundaries

Cited by in corpus (3)

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• Exact solution of the quantum integrable model associated with the twisted $D_3^{(2)}$ algebra
• T-W relation and free energy of the Heisenberg chain at a finite temperature