## Abstract

We consider the worldsheet boundary scattering and the corresponding boundary algebras for the Z = 0 giant graviton and the Z = 0 D7-brane in the AdS/CFT correspondence. We consider two approaches to the boundary scattering, the usual one governed by the (generalized) twisted Yangians and the q-deformed model of these boundaries governed by the quantum affine coideal subalgebras. We show that the q-deformed approach leads to boundary algebras that are of a more compact form than the corresponding twisted Yangians, and thus are favourable to use for explicit calculations. We obtain the q-deformed reflection matrices for both boundaries which in the q → 1 limit specialize to the ones obtained using twisted Yangians.

Original language | English |
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Article number | 030 |

Journal | Journal of High Energy Physics |

Volume | 2013 |

Issue number | 3 |

DOIs | |

Publication status | Published - 22 Apr 2013 |

Externally published | Yes |

## Keywords

- AdS-CFT Correspondence
- Boundary Quantum Field Theory
- Exact S-Matrix
- Quantum Groups