# RUDIMENTS OF HOLOGRAPHY

@article{lvarez2002RUDIMENTSOH, title={RUDIMENTS OF HOLOGRAPHY}, author={Enrique {\'A}lvarez and Jorge Conde and Lorenzo Hernandez}, journal={International Journal of Modern Physics D}, year={2002}, volume={12}, pages={543-582} }

An elementary introduction to Maldacena's AdS/CFT correspondence is given, with some emphasis in the Fefferman–Graham construction. This is based on lectures given by one of us (E.A.) at the Universidad Autonoma de Madrid.

## 10 Citations

### THE DIRICHLET OBSTRUCTION IN AdS/CFT

- Mathematics
- 2003

The obstruction for a perturbative reconstruction of the five-dimensional bulk metric starting from the four-dimensional metric at the boundary, that is, the Dirichlet problem, is computed in…

### Higher order singletons, partially massless fields and their boundary values in the ambient approach

- Physics
- 2013

### Conformal invariant powers of the Laplacian, Fefferman–Graham ambient metric and Ricci gauging

- Physics
- 2007

### Higher Spin Interacting Quantum Field Theory and Higher Order Conformal Invariant Lagrangians

- Physics
- 2010

This thesis includes several original results. All of them are already published or submitted for publication. The thesis is based on articles [51], [12], [33], [34], [35], [36], [30], [37] and…

### Notes on the ambient approach to boundary values of AdS gauge fields

- Physics
- 2013

The ambient space Rd,2?> allows us to formulate both fields on AdSd + 1 and conformal fields in d dimensions such that the symmetry algebra o(d,2)?> is realized linearly. We elaborate an ambient…

### Examining instabilities due to driven scalars in AdS

- PhysicsJournal of High Energy Physics
- 2020

We extend the study of the non-linear perturbative theory of weakly turbulent energy cascades in AdSd+1 to include solutions of driven systems, i.e. those with time-dependent sources on the AdS…

### Conformal coupling of the scalar field with gravity in higher dimensions and invariant powers of the Laplacian

- Mathematics, Physics
- 2007

### Symétries, courants et holographie des spins élevés

- Physics
- 2012

La theorie des spins eleves est le domaine de la physique theorique au centre de cette these. Outre une introduction presentant le contexte general de la naissance de cette theo- rie, ce manuscrit de…

## References

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These lectures do not at all provide a general review of this rapidly growing field. Instead a rather detailed account is presented of a number of the most elementary aspects.

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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 of…

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- 2001

These lectures present an elementary discussion of some background material relevant to the problem of de Sitter quantum gravity. The first two lectures discuss the classical geometry of de Sitter…