English

Jordanian deformation of the open sl(2) Gaudin model

Exactly Solvable and Integrable Systems 2014-05-29 v1 High Energy Physics - Theory Quantum Algebra

Abstract

We derive the deformed sl(2) Gaudin model with integrable boundaries. Starting from the Jordanian deformation of the SL(2)-invariant Yang R-matrix and generic solutions of the associated reflection equation and the dual reflection equation, the corresponding inhomogeneous spin-1/2 XXX chain is obtained. The quasi-classical expansion of the transfer matrix yields the deformed sl(2) Gaudin Hamiltonians with boundary terms.

Keywords

Cite

@article{arxiv.1304.6918,
  title  = {Jordanian deformation of the open sl(2) Gaudin model},
  author = {N. Cirilo António and N. Manojlović and Z. Nagy},
  journal= {arXiv preprint arXiv:1304.6918},
  year   = {2014}
}

Comments

15 pages. arXiv admin note: substantial text overlap with arXiv:1303.2481