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 sl2Lie 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.
|Number of pages||9|
|Journal||Physics Letters, Section A: General, Atomic and Solid State Physics|
|Early online date||19 Mar 2017|
|Publication status||Published - 25 Apr 2017|
- Boundary symmetries
- Heisenberg spin chain
- Inozemtsev spin chain