# Conformal gravity from the AdS/CFT mechanism

## Abstract

We explicitly calculate the induced gravity theory at the boundary of an asymptotically anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the induced theory is a four dimensional conformal gravity plus a scalar field. This calculation confirms some previous results found by a different approach.

- Authors:

- Departamento de Ciencias Fisicas, Universidad Andres Bello, Av. Republica 252, Santiago (Chile)
- (Chile)

- Publication Date:

- OSTI Identifier:
- 21020218

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.75.067501; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ACTION INTEGRAL; CONFORMAL INVARIANCE; DE SITTER GROUP; FOUR-DIMENSIONAL CALCULATIONS; GRAVITATION; QUANTUM FIELD THEORY; SCALAR FIELDS

### Citation Formats

```
Aros, Rodrigo, Romo, Mauricio, Zamorano, Nelson, and Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Avda Blanco Encalada 2008, Santiago.
```*Conformal gravity from the AdS/CFT mechanism*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.067501.

```
Aros, Rodrigo, Romo, Mauricio, Zamorano, Nelson, & Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Avda Blanco Encalada 2008, Santiago.
```*Conformal gravity from the AdS/CFT mechanism*. United States. doi:10.1103/PHYSREVD.75.067501.

```
Aros, Rodrigo, Romo, Mauricio, Zamorano, Nelson, and Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Avda Blanco Encalada 2008, Santiago. Thu .
"Conformal gravity from the AdS/CFT mechanism". United States.
doi:10.1103/PHYSREVD.75.067501.
```

```
@article{osti_21020218,
```

title = {Conformal gravity from the AdS/CFT mechanism},

author = {Aros, Rodrigo and Romo, Mauricio and Zamorano, Nelson and Departamento de Fisica, Facultad de Ciencias Fisicas y Matematicas, Universidad de Chile, Avda Blanco Encalada 2008, Santiago},

abstractNote = {We explicitly calculate the induced gravity theory at the boundary of an asymptotically anti-de Sitter five dimensional Einstein gravity. We also display the action that encodes the dynamics of radial diffeomorphisms. It is found that the induced theory is a four dimensional conformal gravity plus a scalar field. This calculation confirms some previous results found by a different approach.},

doi = {10.1103/PHYSREVD.75.067501},

journal = {Physical Review. D, Particles Fields},

number = 6,

volume = 75,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}

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