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12 papers · 1 filter
Algebraic Bethe ansatz for the XXZ Heisenberg spin chain with triangular boundaries and the corresponding Gaudin model
N. Manojlović, and I. Salom
The implementation of the algebraic Bethe ansatz for the XXZ Heisenberg spin chain, of arbitrary spin-, in the case, when both reflection matrices have the upper-triangular form…
Algebraic Bethe ansatz for the sl(2) Gaudin model with boundary
N. Cirilo António, N. Manojlović, E. Ragoucy +1
Following Sklyanin's proposal in the periodic case, we derive the generating function of the Gaudin Hamiltonians with boundary terms. Our derivation is based on the quasi-classical…
Jordanian deformation of the open sl(2) Gaudin model
N. Cirilo António, N. Manojlović, Z. Nagy
We derive the deformed sl(2) Gaudin model with integrable boundaries. Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrix and generic solutions of the asso…
Trigonometric sl(2) Gaudin model with boundary terms
N. Cirilo António, N. Manojlović, Z. Nagy
We review the derivation of the Gaudin model with integrable boundaries. Starting from the non-symmetric R-matrix of the inhomogeneous spin-1/2 XXZ chain and generic solutions of t…
Algebraic Bethe Ansatz for deformed Gaudin model
N. Cirilo-Antonio, N. Manojlovic, A. Stolin
The Gaudin model based on the sl_2-invariant r-matrix with an extra Jordanian term depending on the spectral parameters is considered. The appropriate creation operators defining t…
Jordanian deformation of the open XXX-spin chain
P. P. Kulish, N. Manojlovic, Z. Nagy
The general solution to the reflection equation associated with the jordanian deformation of the SL(2) invariant Yang R-matrix is found. The same K-matrix is obtained by the specia…