### Abstract

Recently, it has been conjectured that supergravity solutions with two asymptotically AdS_{5} regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS_{5}. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

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

Pages (from-to) | 77-83 |

Number of pages | 7 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 454 |

Issue number | 1-2 |

State | Published - 1999 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*454*(1-2), 77-83.

**RG fixed points in supergravity duals of 4-d field theory and asymptotically AdS spaces.** / Porrati, M.; Starinets, A.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 454, no. 1-2, pp. 77-83.

}

TY - JOUR

T1 - RG fixed points in supergravity duals of 4-d field theory and asymptotically AdS spaces

AU - Porrati, M.

AU - Starinets, A.

PY - 1999

Y1 - 1999

N2 - Recently, it has been conjectured that supergravity solutions with two asymptotically AdS5 regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

AB - Recently, it has been conjectured that supergravity solutions with two asymptotically AdS5 regions describe the RG flow of a 4-d field theory from a UV fixed point to an interacting IR fixed point. In this paper we lend support to this conjecture by showing that, in the UV (IR) limit, the two-point function of a minimally coupled scalar field depends only on the UV (IR) region of the metric, asymptotic to AdS5. This result is consistent with the interpretation of the radial coordinate of Anti de Sitter space as an energy scale, and it may provide an analog of the Callan-Symanzik equation for supergravity duals of strongly coupled field theories.

UR - http://www.scopus.com/inward/record.url?scp=0002628704&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0002628704&partnerID=8YFLogxK

M3 - Article

VL - 454

SP - 77

EP - 83

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 1-2

ER -