### Abstract

We observe that the pp wave limit of AdS_{5} × M^{5} compactifications of type-IIB string theory is universal, and maximally supersymmetric, as long as M^{5} is smooth and preserves some supersymmetry. We investigate a specific case, M^{5} = double-struck T sign ^{1,1}. The dual N = 1 SCFT, describing D3-branes at a conifold singularity, has operators that we identify with the oscillators of the light-cone string in the universal pp wave background. The correspondence is remarkable in that it relies on the exact spectrum of anomalous dimensions in this CFT, along with the existence of certain exceptional series of operators whose dimensions are protected only in the limit of large 't Hooft coupling. We also briefly examine the singular case M^{5} = S^{5}/ ℤ_{2}, for which the pp wave background becomes a ℤ_{2} orbifold of the maximally supersymmetric background by reflection of 4 transverse coordinates. We find operators in the corresponding N = 2 SCFT with the right properties to describe both the untwisted and the twisted sectors of the closed string.

Original language | English (US) |
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Pages (from-to) | 1173-1185 |

Number of pages | 13 |

Journal | Journal of High Energy Physics |

Volume | 6 |

Issue number | 3 |

DOIs | |

State | Published - Mar 1 2002 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- AdS/CFT Correspondence
- Extended Supersymmetry
- Superstring Vacua
- Superstrings and Heterotic Strings

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## Cite this

*Journal of High Energy Physics*,

*6*(3), 1173-1185. https://doi.org/10.1088/1126-6708/2002/03/048