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Reflection k-matrices related to Temperley-Lieb R-matrices

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Abstract

We construct general solutions of the reflection equation associated with Temperley-Lieb R-matrices. We find their parameterization and obtain the Hamiltonians of the corresponding integrable spin systems.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique et Modélisation (CNRS UMR 8089), Université de Cergy-Pontoise, Cergy-Pontoise, France

    J. Avan & G. Rollet

  2. St. Petersburg Department of the Steklov Institute of Mathematics, RAS, St. Petersburg, Russia

    P. P. Kulish

Authors
  1. J. Avan
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  2. P. P. Kulish
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  3. G. Rollet
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Correspondence to J. Avan.

Additional information

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 169, No. 2, pp. 194–203, November, 2011.

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Avan, J., Kulish, P.P. & Rollet, G. Reflection k-matrices related to Temperley-Lieb R-matrices. Theor Math Phys 169, 1530–1538 (2011). https://doi.org/10.1007/s11232-011-0130-y

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  • DOI: https://doi.org/10.1007/s11232-011-0130-y

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