## 633 Citations

### Dimensional regularization for holographic RG flows

- PhysicsJournal of High Energy Physics
- 2019

In this work, we present a holographic renormalization scheme for asymptotically anti-de Sitter spacetimes in which the dual renormalization scheme of the boundary field theory is dimensional…

### Holographic trace anomaly and local renormalization group

- Physics
- 2015

A bstractThe Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to…

### Holographic interpretations of the renormalization group

- Physics
- 2012

A bstractIn semiclassical holographic duality, the running couplings of a field theory are conventionally identified with the classical solutions of field equations in the dual gravitational theory.…

### Bulk renormalization and the AdS/CFT correspondence

- Physics
- 2022

We develop a systematic renormalization procedure for QFT in anti-de Sitter spacetime. UV inﬁnities are regulated using a geodesic point-splitting method, which respects AdS isometries, while IR…

### AdS4 supergravity, holography and Ward identities

- Physics
- 2021

We develop in detail the holographic framework for an N = 2 pure AdS supergravity model in four dimensions, including all the contributions from the fermionic fields and adopting the Fefferman-Graham…

### Wilsonian renormalisation and the exact cut-off scale from holographic duality

- PhysicsJournal of High Energy Physics
- 2012

We propose a method for determining the exact correspondence between the Wilsonian cut-off scale on the boundary and its holographically dual bulk theory. We systematically construct the multi-trace…

### Wilsonian renormalisation and the exact cut-off scale from holographic duality

- Physics
- 2012

A bstractWe propose a method for determining the exact correspondence between the Wilsonian cut-off scale on the boundary and its holographically dual bulk theory. We systematically construct the…

### AdS/CFT and local renormalization group with gauge fields

- Physics
- 2015

We revisit a study of local renormalization group (RG) with background gauge fields incorporated using the AdS/CFT correspondence. Starting with a (d+ 1)-dimensional bulk gravity coupled to scalars…

### Holographic renormalization and supersymmetry

- Physics
- 2016

A bstractHolographic renormalization is a systematic procedure for regulating divergences in observables in asymptotically locally AdS spacetimes. For dual boundary field theories which are…

### Finite cutoff AdS5 holography and the generalized gradient flow

- PhysicsJournal of High Energy Physics
- 2018

A bstractRecently proposed double trace deformations of large N holographic CFTs in four dimensions define a one parameter family of quantum field theories, which are interpreted in the bulk dual as…

## References

SHOWING 1-10 OF 76 REFERENCES

### 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…

### 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…

### Anatomy of two holographic renormalization group flows

- Physics
- 2001

We derive and solve a subset of the fluctuation equations about two domain wall solutions of D = 5, = 8 gauged supergravity. One solution is dual to D = 4, = 4 SYM theory perturbed by an = 1,…

### 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…

### How to go with an RG flow

- Physics
- 2001

We apply the formalism of holographic renormalization to domain wall solutions of 5-dimensional supergravity which are dual to deformed conformal field theories in 4 dimensions. We carefully compute…

### Differential regularization and renormalization: a new method of calculation in quantum field theory

- Physics
- 1992