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On rational R-matrices with adjoint SU(n) symmetry

Mathematical Physics 2016-10-18 v2 Strongly Correlated Electrons High Energy Physics - Theory math.MP

Abstract

Using the representation theory of Yangians we construct the rational R-matrix which takes values in the adjoint representation of SU(n). From this we derive an integrable SU(n) spin chain with lattice spins transforming under the adjoint representation. However, the resulting Hamiltonian is found to be non-Hermitian.

Keywords

Cite

@article{arxiv.1606.02516,
  title  = {On rational R-matrices with adjoint SU(n) symmetry},
  author = {Laurens Stronks and Johan van de Leur and Dirk Schuricht},
  journal= {arXiv preprint arXiv:1606.02516},
  year   = {2016}
}