Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence

@article{DeHaro2000HolographicRO,
  title={Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence},
  author={Sebastian De Haro and Kostas Skenderis and Sergey N. Solodukhin},
  journal={Communications in Mathematical Physics},
  year={2000},
  volume={217},
  pages={595-622}
}
Abstract: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a covariant way, computing all divergences, adding counterterms to cancel them and then removing the regulator. We explicitly work out the case of pure gravity up to six dimensions and of gravity coupled to scalars. The method can also be viewed as providing a holographic reconstruction of the bulk spacetime… Expand

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References

SHOWING 1-10 OF 54 REFERENCES
Ads/CFT correspondence and symmetry breaking
Abstract We study, using the dual AdS description, the vacua of field theories where some of the gauge symmetry is broken by expectation values of scalar fields. In such vacua, operators built out ofExpand
Quantum effective action from the AdS / CFT correspondence
Abstract We obtain an Einstein metric of constant negative curvature given an arbitrary boundary metric in three dimensions, and a conformally flat one given an arbitrary conformally flat boundaryExpand
The holographic Weyl anomaly
We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravityExpand
Holography and compactification
Following a recent suggestion by Randall and Sundrum, we consider string compactification scenarios in which a compact slice of AdS-space arises as a subspace of the compactification manifold. AExpand
Correlation functions in the CFT(d) / AdS(d+1) correspondence
Abstract Conformal techniques are applied to the calculation of integrals on AdS d +1 space which define correlators of composite operators in the superconformal field theory on the d -dimensionalExpand
AdS/CFT and gravity
The radiation-dominated k=0 FRW cosmology emerges as the induced metric on a codimension one hypersurface of constant extrinsic curvature in the five-dimensional AdS-Schwarzschild solution. That weExpand
Surface terms as counterterms in the AdS-CFT correspondence
We examine the recently proposed technique of adding boundary counterterms to the gravitational action for spacetimes which are locally asymptotic to anti\char21{}de Sitter spacetimes. In particular,Expand
Anti-de Sitter space and holography
Recently, it has been proposed by Maldacena that large $N$ limits of certain conformal field theories in $d$ dimensions can be described in terms of supergravity (and string theory) on the product ofExpand
Holographic Probes of Anti-de Sitter Spacetimes
We describe probes of anti{endash}de Sitter spacetimes in terms of conformal field theories on the AdS boundary. Our basic tool is a formula that relates bulk and boundary states{emdash}classicalExpand
The Large-N Limit of Superconformal Field Theories and Supergravity
We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,Expand
...
1
2
3
4
5
...