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 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.
Original language | English |
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Pages (from-to) | 1340-1348 |
Number of pages | 9 |
Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
Volume | 381 |
Issue number | 16 |
Early online date | 19 Mar 2017 |
DOIs | |
Publication status | Published - 25 Apr 2017 |
Keywords
- Boundary symmetries
- Heisenberg spin chain
- Inozemtsev spin chain
- Yangian