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This article is cited in 8 scientific papers (total in 9 papers)
Jordanian deformation of the open XXX spin chain
P. P. Kulisha, N. Manoilovichb, Z. Nagyc a St. Petersburg Department of Steklov Institute of Mathematics, St.~Petersburg, Russia
b Departamento de Matemática,
Universidade do Algarve, Campus de Gambelas,
Faro, Portugal
c Grupo de Física Mathemática da Universidade de Lisboa, Lisboa, Portugal
Abstract:
We find the general solution of the reflection equation associated with the Jordanian deformation of the $SL(2)$-invariant Yang $R$-matrix. A special scaling limit of the XXZ model with general boundary conditions leads to the same $K$-matrix. Following the Sklyanin formalism, we derive the Hamiltonian with the boundary terms in explicit form. We also discuss the structure of the spectrum of the deformed XXX model and its dependence on the boundary conditions.
Keywords:
spin chain, boundary condition, quantum group, reflection equation.
Received: 11.11.2009
Citation:
P. P. Kulish, N. Manoilovich, Z. Nagy, “Jordanian deformation of the open XXX spin chain”, TMF, 163:2 (2010), 288–298; Theoret. and Math. Phys., 163:2 (2010), 644–652
Linking options:
https://www.mathnet.ru/eng/tmf6500https://doi.org/10.4213/tmf6500 https://www.mathnet.ru/eng/tmf/v163/i2/p288
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