Lattice supersymmetry in the open XXZ model: An algebraic Bethe Ansatz analysis

Robert Weston, Junye Yang

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4 Citations (Scopus)
30 Downloads (Pure)


We reconsider the open XXZ chain of Yang and Fendley. This model possesses a lattice supersymmetry which changes the length of the chain by one site. We perform an algebraic Bethe ansatz analysis of the model and derive the commutation relations of the lattice SUSY operators with the four elements of the open-chain monodromy matrix. Hence we give the action of the SUSY operator on off-shell and on-shell Bethe states. We show that this action generally takes one on-shell Bethe eigenstate to another. The exception is that a zero-energy vacuum state will be a SUSY singlet. The SUSY pairings of Bethe roots we obtain are analogous to those found previously for closed chains by Fendley and Hagendorf by analysing the Bethe equations.

Original languageEnglish
Article number123104
JournalJournal of Statistical Mechanics: Theory and Experiment
Issue number12
Publication statusPublished - 20 Dec 2017


  • algebraic structures of integrable models
  • integrable spin chains and vertex models
  • solvable lattice models
  • symmetries of integrable models

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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