title: Shadows of the planck scale: scale dependence of compactification geometry.
abstract: 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.
authors.affiliation: Department of Physics, University of Arizona, Tucson, Arizona 85721, USA. dienes@physics.arizona.edu
authors.forename: Keith R
authors.initials: KR
authors.lastname: Dienes
authors.forename: Arash
authors.initials: A
authors.lastname: Mafi