Research output: Contribution to journal › Article

Journal | Nuclear Physics B |
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Date | Published - 21 Jul 2011 |

Issue number | 3 |

Volume | 848 |

Number of pages | 33 |

Pages (from-to) | 545-577 |

Original language | English |

Transmission matrices for two types of integrable defect are calculated explicitly, first by solving directly the nonlinear transmission Yang-Baxter equations, and second by solving a linear intertwining relation between a finite dimensional representation of the relevant Borel subalgebra of the quantum group underpinning the integrable quantum field theory and a particular infinite dimensional representation expressed in terms of sets of generalized `quantum' annihilation and creation operators. The principal examples analysed are based on the $a_2^{(2)}$ and $a_n^{(1)}$ affine Toda models but examples of similar infinite dimensional representations for quantum Borel algebras for all other affine Toda theories are also provided.

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