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Prog. Theor. Phys. Vol. 105 No. 6 (2001) pp. 1017-1044

[ Full Text PDF : FREE ACCESS (263K) ]

Higher-Derivative Gravity and the AdS/CFT Correspondence

Masafumi Fukuma,* So Matsuura** and Tadakatsu Sakai ***

Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

(Received March 23, 2001)

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.


URL : http://ptp.ipap.jp/link?PTP/105/1017/
DOI : 10.1143/PTP.105.1017


*E-mail: fukuma@yukawa.kyoto-u.ac.jp
**E-mail: matsu@yukawa.kyoto-u.ac.jp
***E-mail: tsakai@yukawa.kyoto-u.ac.jp

[ Full Text PDF : FREE ACCESS (263K) ] Citation:

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Citing Article(s) :

  1. Progress of Theoretical Physics Vol. 107 No. 5 (2002) pp. 1085-1104 :
    Holographic Renormalization Group Structure in Higher-Derivative Gravity
    Masafumi Fukuma and So Matsuura
  2. Progress of Theoretical Physics Vol. 108 No. 2 (2002) pp. 375-382 :
    Comment on Field Redefinitions in the AdS/CFT Correspondence
    Masafumi Fukuma and So Matsuura
  3. Progress of Theoretical Physics Vol. 109 No. 4 (2003) pp. 489-562 :
    Holographic Renormalization Group
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  4. Progress of Theoretical Physics Vol. 109 No. 4 (2003) pp. 687-707 :
    Born-Infeld Action from Supergravity
    Matsuo Sato and Asato Tsuchiya
  5. Progress of Theoretical Physics Vol. 117 No. 3 (2007) pp. 533-556 :
    Supersymmetric Completion of an R2 Term in Five-Dimensional Supergravity
    Kentaro Hanaki, Keisuke Ohashi and Yuji Tachikawa
  6. Progress of Theoretical Physics Vol. 128 No. 2 (2012) pp. 285-300 :
    Holographic Entanglement Entropy for d = 4 N = 2 SCFTs in F-Theory
    Mitsutoshi Fujita

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