### Abstract

We investigate the AdS/CFT correspondence for higher-derivative gravity systems and develop a formalism in which the generating functional of the boundary field theory is given as a functional that depends only on the boundary values of bulk fields. We also derive a Hamilton-Jacobi-like equation that uniquely determines the generating functional, and give an algorithm calculating the Weyl anomaly. Using the expected duality between a higher-derivative gravity system and N = 2 superconformal field theory in four dimensions, we demonstrate that the resulting Weyl anomaly is consistent with the field theoretic anomaly.

Original language | English |
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Pages (from-to) | 1017-1044 |

Number of pages | 28 |

Journal | Progress of Theoretical Physics |

Volume | 105 |

Issue number | 6 |

DOIs | |

Publication status | Published - 2001 Jun 1 |

Externally published | Yes |

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

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## Cite this

Fukuma, M., Matsuura, S., & Sakai, T. (2001). Higher-derivative gravity and the AdS/CFT correspondence.

*Progress of Theoretical Physics*,*105*(6), 1017-1044. https://doi.org/10.1143/PTP.105.1017