How to fold a spin chain: Integrable boundaries of the Heisenberg XXX and Inozemtsev hyperbolic models

Alejandro De La Rosa Gomez, Niall MacKay, Vidas Regelskis

Research output: Contribution to journalArticlepeer-review


We present a general method of folding an integrable spin chain, defined on a line, to obtain an integrable open spin chain, defined on a half-line. We illustrate our method through two fundamental models with sl(2) Lie algebra symmetry: the Heisenberg XXX and the Inozemtsev hyperbolic spin chains. We obtain new long-range boundary Hamiltonians and demonstrate that they exhibit Yangian symmetries, thus ensuring integrability of the models we obtain. The method presented provides a "bottom-up" approach for constructing integrable boundaries and can be applied to any spin chain model.
Original languageEnglish
Pages (from-to)1340-1348
Number of pages9
JournalPhysics Letters A
Issue number16
Early online date19 Mar 2017
Publication statusPublished - 25 Apr 2017

Bibliographical note

9 pages, 1 figure


  • math-ph
  • hep-th
  • math.MP
  • nlin.SI

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