4.1 Article

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

Journal

THEORETICAL AND MATHEMATICAL PHYSICS
Volume 169, Issue 2, Pages 1530-1538

Publisher

MAIK NAUKA/INTERPERIODICA/SPRINGER
DOI: 10.1007/s11232-011-0130-y

Keywords

Yang-Baxter equation; R-matrix; reflection equation; open spin chain

Funding

  1. CNRS
  2. Universite de Cergy-Pontoise
  3. ANR [2010-BLAN-0120-02]
  4. Formation et recherche en physique theorique [GDRI-471]
  5. Russian Foundation for Basic Research [09-01-00504, 09-01-93108-NTsNIL]

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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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