# 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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