The algebraic Bethe ansatz for the Izergin–Korepin model with open boundary conditions

Bethe ansatz for the XXX-S chain with non-diagonal open boundaries

“…Note that it reproduces the previous state for S = 1 [24,27,29] and in Appendix B we have presented all the needed evidences that it is indeed a suitable eigenvector for S = …”

“…In Appendix B we present details of our analysis of the one-particle eigenvalue problem for S = . This study together with the previous results for S = 1 [27,29] and the help of mathematical induction lead us to the following general expression t S (λ)…”

Algebraic Bethe ansatz solutions for thesl(2|1)(2)andosp(2|1) models with boundary terms

“…Here, with the aid of previous works [6,7], two of the three-state graded 19-vertex models have their boundary algebraic BA derived using a generalization of the Tarasov's approach [17]. From our results for the transfer matrix one can in principle derive the free-energy thermodynamics, the quasi-particle excitations behavior as well as the classes of universality governing the criticality of gapless regimes with integrable boundary conditions.…”

“…The algebraic BA, also known as the quantum inverse scattering method (QISM) [4], is an elegant and important generalization of the coordinate BA [5] In this work we will study two graded three-state vertex models with reflecting boundary conditions. Their boundary algebraic BA are delineated based in the recent progresses [6,7], for the formulation of the QISM for the 19-vertex models with boundary condition terms.…”

Exact solution of the Izergin-Korepin model with general non-diagonal boundary terms

“…The IK model with U(1)-symmetry, i.e. with periodic boundary condition or with diagonal boundaries have been extensively studied [60,[62][63][64][65][66][67][68][69][70][71][72]. Even the most general integrable boundary condition (corresponding to the non-diagonal reflection matrix) has been known almost for 20 years [64,69,71], its exact solution is still missing.…”