Spontaneous symmetry breaking in the non-linear Schrödinger hierarchy with defect

@article{Caudrelier2005SpontaneousSB,
  title={Spontaneous symmetry breaking in the non-linear Schr{\"o}dinger hierarchy with defect},
  author={Vincent Caudrelier and Eric Ragoucy},
  journal={Journal of Physics A},
  year={2005},
  volume={38},
  pages={2241-2257}
}
We introduce and solve the one-dimensional quantum non-linear Schrodinger (NLS) equation for an N-component field defined on the real line with a defect sitting at the origin. The quantum solution is constructed using the quantum inverse scattering method based on the concept of reflection-transmission (RT) algebras recently introduced. The symmetry of the model is generated by the reflection and transmission defect generators defining a defect subalgebra. We classify all the corresponding… 
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