# 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…

## 15 Citations

### On the S‐Matrix of the Faddeev‐Reshetikhin Model

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- 2008

The Faddeev‐Reshetikhin model arises as a truncation of strings in AdS5×S5. Its two particle S‐matrix should be obtained by diagonalizing its Hamiltonian. However this does not happen in a…

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The classical exchange algebra satisfied by the monodromy matrix of AdS5× S 5 string theory in the Green-Schwarz formulation is determined by using a first-order Hamiltonian formulation and by adding…

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We investigate the equivalence theorem for integrable systems using two formulations of the Alday–Arutyunov–Frolov model. We show that the S-matrix is invariant under the field transformation which…

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