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

Keith R. Dienes·Arash Mafi
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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 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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Keith R. Dienes, Arash Mafi. 2001-11-28. Shadows of the Planck Scale: The Changing Face of Compactification Geometry. https://doi.org/10.1103/physrevlett.88.111602

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