### Abstract

The effects of the shape moduli associated with toroidal compactifications were studied and it was demonstrated that the Planck-sized extra dimensions were capable of casting significant shadows over low-energy physics. These shadows placed a fundamental limit on probing the geometry of compactification by measuring Kaluza-Klein states. The compactification geometry was found to be renormalized as a function of energy scale with renormalization group equations describing the flow of geometric parameters.

Original language | English (US) |
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Article number | 111602 |

Pages (from-to) | 1116021-1116024 |

Number of pages | 4 |

Journal | Physical review letters |

Volume | 88 |

Issue number | 11 |

State | Published - Mar 18 2002 |

### ASJC Scopus subject areas

- Physics and Astronomy(all)

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## Cite this

Dienes, K. R., & Mafi, A. (2002). Shadows of the planck scale: Scale dependence of compactification geometry.

*Physical review letters*,*88*(11), 1116021-1116024. [111602].