## Abstract / Description of output

Departing from the observation that the Penrose limit of AdS_{3} × S^{3} is a group contraction in the sense of Inönü and Wigner, we explore the relation between the symmetric D-branes of AdS _{3} × S^{3} and those of its Penrose limit, a six-dimensional symmetric plane wave analogous to the four-dimensional Nappi-Witten spacetime. Both backgrounds are Lie groups admitting bi-invariant lorentzian metrics and symmetric D-branes wrap their (twisted) conjugacy classes. We determine the (twisted and untwisted) symmetric D-branes in the plane wave background and we prove the existence of a space-filling D5-brane and, separately, of a foliation by D3-branes with the geometry of the Nappi-Witten spacetime which can be understood as the Penrose limit of the AdS_{2} × S^{2} D3-brane in AdS_{3} × S ^{3}. Parenthetically we also derive a simple criterion for a symmetric plane wave to be isometric to a lorentzian Lie group. In particular we observe that the maximally supersymmetric plane wave in IIB string theory is isometric to a lorentzian Lie group, whereas the one in M-theory is not.

Original language | English |
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Pages (from-to) | 589-609 |

Number of pages | 21 |

Journal | Journal of High Energy Physics |

Volume | 7 |

Issue number | 6 |

DOIs | |

Publication status | Published - 17 Jun 2003 |

## Keywords / Materials (for Non-textual outputs)

- D-branes
- Penrose limit and pp-wave background