TY - JOUR
T1 - How to fold a spin chain
T2 - Integrable boundaries of the Heisenberg XXX and Inozemtsev hyperbolic models
AU - De La Rosa Gomez, Alejandro
AU - MacKay, Niall
AU - Regelskis, Vidas
N1 - © 2017 Published by Elsevier B.V. All rights reserved.
PY - 2017/4/25
Y1 - 2017/4/25
N2 - 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.
AB - 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.
KW - Boundary symmetries
KW - Heisenberg spin chain
KW - Inozemtsev spin chain
KW - Yangian
UR - http://www.scopus.com/inward/record.url?scp=85014536698&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2017.02.039
DO - 10.1016/j.physleta.2017.02.039
M3 - Article
AN - SCOPUS:85014536698
SN - 0375-9601
VL - 381
SP - 1340
EP - 1348
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 16
ER -