## Abstract

The recent proposal on the correspondence between the N = 4 super-Yang-Mills theory and string theory in the Penrose limit of the AdS_{5} × S^{5} geometry involves a few puzzles from the viewpoint of holographic principle, especially in connection with the interpretation of times. To resolve these puzzles, we propose to interpret the PP-wave strings on the basis of tunneling null geodesics connecting boundaries of the AdS geometry. Our approach predicts a direct and systematic identification of the S-matrix of Euclidean string theory in the bulk with the short-distance structure of correlation functions of super-Yang-Mills theory on the AdS boundary, as an extension of the ordinary relation in supergravity-CFT correspondence. Holography requires an infinite number of contact terms for interaction vertices of string field theory and constrains their forms in a way consistent with supersymmetry.

Original language | English |
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Pages (from-to) | 94-128 |

Number of pages | 35 |

Journal | Nuclear Physics B |

Volume | 665 |

DOIs | |

Publication status | Published - 2003 Aug 18 |

Externally published | Yes |

## ASJC Scopus subject areas

- Nuclear and High Energy Physics

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