### 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 |
---|---|

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 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Progress of Theoretical Physics*,

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

**Higher-derivative gravity and the AdS/CFT correspondence.** / Fukuma, Masafumi; Matsuura, So; Sakai, Tadakatsu.

Research output: Contribution to journal › Article

*Progress of Theoretical Physics*, vol. 105, no. 6, pp. 1017-1044. https://doi.org/10.1143/PTP.105.1017

}

TY - JOUR

T1 - Higher-derivative gravity and the AdS/CFT correspondence

AU - Fukuma, Masafumi

AU - Matsuura, So

AU - Sakai, Tadakatsu

PY - 2001/6

Y1 - 2001/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0035535741&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035535741&partnerID=8YFLogxK

U2 - 10.1143/PTP.105.1017

DO - 10.1143/PTP.105.1017

M3 - Article

VL - 105

SP - 1017

EP - 1044

JO - Progress of Theoretical Physics

JF - Progress of Theoretical Physics

SN - 0033-068X

IS - 6

ER -