Affine Toda field theories with defects

@article{Bowcock2004AffineTF,
  title={Affine Toda field theories with defects},
  author={Peter Bowcock and Edward Corrigan and C. Zambon},
  journal={Journal of High Energy Physics},
  year={2004},
  volume={2004},
  pages={056}
}
A lagrangian approach is proposed and developed to study defects within affine Toda field theories. In particular, a suitable Lax pair is constructed together with examples of conserved charges. It is found that only those models based on ar(1) data appear to allow defects preserving integrability. Surprisingly, despite the explicit breaking of Lorentz and translation invariance, modified forms of both energy and momentum are conserved. Some, but apparently not all, of the higher spin conserved… 
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