### Abstract

We study the low energy effective action S of gravity, induced by integrating out gauge and matter fields, in a general class of Randall-Sundrum type string compactification scenarios with exponential warp factors. Our method combines dimensional reduction with the holographic map between 5-d supergravity and 4-d large-N field theory. Using the classical supergravity approximation, we derive a flow equation of the effective action S that controls its behavior under scale transformations. We find that as a result each extremum of S automatically describes a complete RG trajectory of classical solutions. This implies that, provided the cosmological constant is canceled in the high energy theory, classical flat space backgrounds naturally remain stable under the RG-flow. The mechanism responsible for this stability is that the non-zero vacuum energy generated by possible phase transitions, is absorbed by a dynamical adjustment of the contraction rate of the warp factor.

Original language | English (US) |
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Pages (from-to) | 20-25 |

Number of pages | 6 |

Journal | Journal of High Energy Physics |

Volume | 4 |

Issue number | 5 PART B |

DOIs | |

State | Published - 2000 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics

### Keywords

- Cosmology of Theories beyond the SM
- String Duality
- Superstring Vacua

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## Cite this

*Journal of High Energy Physics*,

*4*(5 PART B), 20-25. https://doi.org/10.1088/1126-6708/2000/05/034