Research output: Contribution to journal › Article

Journal | Communications in Mathematical Physics |
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Date | Published - Feb 2003 |

Issue number | 1 |

Volume | 233 |

Number of pages | 17 |

Pages (from-to) | 173-190 |

Original language | English |

We consider the sine-Gordon and affine Toda field theories on the half-line with classically integrable boundary conditions, and show that in the quantum theory a remnant survives of the bulk quantized affine algebra symmetry generated by non-local charges. The paper also develops a general framework for obtaining solutions of the reflection equation by solving an intertwining property for representations of certain coideal subalgebras of U q (g).

- S-MATRICES, BOUNDARY-CONDITIONS, YANGIAN SYMMETRY, SOLITONS, STATES, ALGEBRA, SYSTEMS, MODELS

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