The S-matrix of the Faddeev-Reshetikhin model, diagonalizability and PT symmetry

@article{Das2007TheSO,
  title={The S-matrix of the Faddeev-Reshetikhin model, diagonalizability and PT symmetry},
  author={Ashok Kumar Das and Ashot Melikyan and Victor O. Rivelles},
  journal={Journal of High Energy Physics},
  year={2007},
  volume={2007},
  pages={104-104}
}
We study the question of diagonalizability of the Hamiltonian for the Faddeev-Reshetikhin (FR) model in the two particle sector. Although the two particle S-matrix element for the FR model, which may be relevant for the quantization of strings on AdS5 × S5, has been calculated recently using field theoretic methods, we find that the Hamiltonian for the system in this sector is not diagonalizable. We trace the difficulty to the fact that the interaction term in the Hamiltonian violating Lorentz… 

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