### Abstract

It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection, relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a, manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wilsonian RG flow in the UV theory to the effective gravitational dynamics in the extra dimension. The relevant holographic c-function is determined by the expression for the holographic bound. Holography in this context is a result of the requirements of unitarity and diffeomorphism invariance. We comment on the relevance of this observation for the cosmological constant problem.

Original language | English (US) |
---|---|

Pages (from-to) | 15-24 |

Number of pages | 10 |

Journal | Journal of Cosmology and Astroparticle Physics |

Issue number | 6 |

State | Published - Jun 1 2003 |

### Fingerprint

### Keywords

- Extra dimensions
- Gravity

### ASJC Scopus subject areas

- Astronomy and Astrophysics

### Cite this

*Journal of Cosmology and Astroparticle Physics*, (6), 15-24.

**Deconstruction and holography.** / Jejjala, Vishnu; Leigh, Robert G; Minic, Djordje.

Research output: Contribution to journal › Review article

*Journal of Cosmology and Astroparticle Physics*, no. 6, pp. 15-24.

}

TY - JOUR

T1 - Deconstruction and holography

AU - Jejjala, Vishnu

AU - Leigh, Robert G

AU - Minic, Djordje

PY - 2003/6/1

Y1 - 2003/6/1

N2 - It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection, relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a, manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wilsonian RG flow in the UV theory to the effective gravitational dynamics in the extra dimension. The relevant holographic c-function is determined by the expression for the holographic bound. Holography in this context is a result of the requirements of unitarity and diffeomorphism invariance. We comment on the relevance of this observation for the cosmological constant problem.

AB - It was recently pointed out that the physics of a single discrete gravitational extra dimension exhibits a peculiar UV/IR connection, relating the UV scale to the radius of the effective extra dimension. Here we note that this non-locality is a, manifestation of holography, encoding the correct scaling of the number of fundamental degrees of freedom of the UV theory. This in turn relates the Wilsonian RG flow in the UV theory to the effective gravitational dynamics in the extra dimension. The relevant holographic c-function is determined by the expression for the holographic bound. Holography in this context is a result of the requirements of unitarity and diffeomorphism invariance. We comment on the relevance of this observation for the cosmological constant problem.

KW - Extra dimensions

KW - Gravity

UR - http://www.scopus.com/inward/record.url?scp=23244464633&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=23244464633&partnerID=8YFLogxK

M3 - Review article

AN - SCOPUS:23244464633

SP - 15

EP - 24

JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

SN - 1475-7516

IS - 6

ER -