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New results in the XXZ open spin chain
Pascal Baseilhac
In this review, I describe a recent approach based on the representation theory of the Onsager algebra which is used to derive exact results for the XXZ open spin chain. The co…
Exact spectrum of the XXZ open spin chain from the q-Onsager algebra representation theory
P. Baseilhac, K. Koizumi
The transfer matrix of the XXZ open spin-1/2 chain with general integrable boundary conditions and generic anisotropy parameter (q is not a root of unity and |q|=1) is diagonalized…
A deformed analogue of Onsager's symmetry in the XXZ open spin chain
P. Baseilhac, K. Koizumi
The XXZ open spin chain with general integrable boundary conditions is shown to possess a q-deformed analogue of the Onsager's algebra as fundamental non-abelian symmetry which ens…
Deformed Dolan-Grady relations in quantum integrable models
Pascal Baseilhac
A new hidden symmetry is exhibited in the reflection equation and related quantum integrable models. It is generated by a dual pair of operators $\{\textsf{A}, \textsf{A}^*\}\in{\c…
N=2 boundary supersymmetry in integrable models and perturbed boundary conformal field theory
P. Baseilhac, K. Koizumi
Boundary integrable models with N=2 supersymmetry are considered. For the simplest boundary N=2 superconformal minimal model with a Chebyshev bulk perturbation we show explicitly h…
On the third level descendent fields in the Bullough-Dodd model and its reductions
P. Baseilhac, M. Stanishkov
Exact vacuum expectation values of the third level descendent fields in the Bullough-Dodd model are proposed. By performing quantum group…