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Jordanian deformation of the open XXX spin chain

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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.

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Authors and Affiliations

  1. St. Petersburg Department of the Steklov Institute of Mathematics, St. Petersburg, Russia

    P. P. Kulish

  2. Departamento de Matemática, Universidade do Algarve, Campus de Gambelas, Faro, Portugal

    N. Manojlović

  3. Grupo de Física Mathemàtica, Universidade de Lisboa, Lisboa, Portugal

    Z. Nagy

Authors
  1. P. P. Kulish
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  2. N. Manojlović
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  3. Z. Nagy
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Correspondence to P. P. Kulish.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 163, No. 2, pp. 288–298, May, 2010.

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Kulish, P.P., Manojlović, N. & Nagy, Z. Jordanian deformation of the open XXX spin chain. Theor Math Phys 163, 644–652 (2010). https://doi.org/10.1007/s11232-010-0047-x

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