Shadows of the Planck Scale: The Changing Face of Compactification Geometry

Details Shadows of the Planck Scale: The Changing Face of Compactification Geometry Shadows of the Planck Scale: The Changing Face of Compactification Geometry

2001-11-28

arxiv.org/abs/hep-th/0111264v1

Phys.Rev.Lett.88:111602,2002

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, 2 figures

Scientific paper

10.1103/PhysRevLett.88.111602

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 can greatly 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 simply by measuring Kaluza-Klein states. We also discuss the interpretation of compactification radii and hierarchies in the context of geometries with non-trivial shape moduli. One of the main results of this paper is 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.

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