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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 2, Pages 288–298
DOI: https://doi.org/10.4213/tmf6500 (Mi tmf6500) 		 
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
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DOI: https://doi.org/10.4213/tmf6500
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 2, Pages 644–652
DOI: https://doi.org/10.1007/s11232-010-0047-x
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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