Shadows of the Planck Scale: Scale Dependence of Compactification Geometry

Keith R Dienes, Arash Mafi

Research output: Contribution to journalArticle


By studying the effects of the shape moduli associated with toroidal compactifications, we demonstrate that Planck-sized extra dimensions can cast significant “shadows” over low-energy physics. These shadows distort our perceptions of the compactification geometry associated with large extra dimensions and place a fundamental limit on our ability to probe the geometry of compactification by measuring Kaluza-Klein states. We also find that compactification geometry is effectively renormalized as a function of energy scale, with “renormalization group equations” describing the “flow” of geometric parameters such as compactification radii and shape angles as functions of energy.

Original languageEnglish (US)
Number of pages1
JournalPhysical Review Letters
Issue number11
Publication statusPublished - Jan 1 2002


ASJC Scopus subject areas

  • Physics and Astronomy(all)

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