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

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JournalPhysics Letters A
DateSubmitted - 5 Oct 2016
DateAccepted/In press - 23 Feb 2017
DateE-pub ahead of print - 19 Mar 2017
DatePublished (current) - 25 Apr 2017
Issue number16
Volume381
Number of pages9
Pages (from-to)1340-1348
Early online date19/03/17
Original languageEnglish

Abstract

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.

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9 pages, 1 figure

    Research areas

  • math-ph, hep-th, math.MP, nlin.SI

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