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

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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.
Original languageEnglish
JournalJournal of Physics A: Mathematical and Theoretical
Volume49
Issue number44
DOIs
Publication statusPublished - 2016

Keywords

  • math-ph
  • cond-mat.str-el
  • hep-th
  • math.MP

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