# Holographic Renormalization Group

@article{Fukuma2002HolographicRG, title={Holographic Renormalization Group}, author={Masafumi Fukuma and So Matsuura and Tadakatsu Sakai}, journal={Progress of Theoretical Physics}, year={2002}, volume={109}, pages={489-562} }

The holographic renormalization group (RG) is reviewed in a self-contained manner. The holographic RG is based on the idea that the radial coordinate of a space-time with asymptotically AdS geometry can be identified withthe RG flow parameter of boundary field theory. After briefly discussing basic aspects of the AdS/CFT correspondence, we explain how the concept of the holographic RG emerges from this correspondence. We formulate the holographic RG on the basis of the Hamilton-Jacobi equations…

## 27 Citations

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## References

SHOWING 1-10 OF 143 REFERENCES

### Field-theoretical interpretation of the holographic renormalization group

- Physics
- 2001

A quantum-field theoretical interpretation is given to the holographic RG equation by relating it to a field-theoretical local RG equation which determines how Weyl invariance is broken in a…

### Holographic Renormalization Group Structure in Higher-Derivative Gravity

- Physics
- 2002

Classical higher-derivative gravity is investigated in the context of the holographic renormalization group (RG). We parametrize the Euclidean time such that one step of time evolution in (d +…

### A Study of holographic renormalization group flows in D = 6 and D = 3

- Physics
- 2000

We present an explicit study of the holographic renormalization group (RG) in six dimensions using minimal gauged supergravity. By perturbing the theory with the addition of a relevant operator of…

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

- Physics
- 2000

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…

### Notes on Fluctuations and Correlation Functions in Holographic Renormalization Group Flows

- Physics
- 2000

We study the coupled equations describing fluctuations of scalars and the metric about background solutions of N=8 gauged supergravity which are dual to boundary field theories with renormalization…

### On the holographic RG flow and the low-energy, strong coupling, large N limit

- Physics
- 2001

From the AdS/CFT correspondence, we learn that the classical evolution of supergravity in the bulk can be reduced to a RG-flow equation for the dual low-energy, strongly coupled and large N gauge…

### Holographic correlators in a flow to a fixed point

- Physics
- 2002

Using holographic renormalization, we study correlation functions throughout a renormalization group flow between two-dimensional superconformal field theories. The ultraviolet theory is an N = (4,4)…

### Renormalization group flows from holography supersymmetry and a c theorem

- Physics
- 1999

We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior anti-de Sitter region with…

### The holographic Weyl anomaly

- PhysicsJournal of High Energy Physics
- 1998

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 supergravity…