Higher-Derivative Gravity and the AdS/CFT Correspondence

Details Higher-Derivative Gravity and the AdS/CFT Correspondence Higher-Derivative Gravity and the AdS/CFT Correspondence

2001-03-22

arxiv.org/abs/hep-th/0103187v2

Prog.Theor.Phys. 105 (2001) 1017-1044

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, LaTeX2e, minor changes

Scientific paper

10.1143/PTP.105.1017

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 one.

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