Shadows of the Planck Scale: Scale Dependence of Compactification Geometry

Keith R. Dienes, Arash Mafi

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


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)
Pages (from-to)4
Number of pages1
JournalPhysical review letters
Issue number11
StatePublished - 2002

ASJC Scopus subject areas

  • General Physics and Astronomy


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