Shadows of the Planck Scale: The Changing Face 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 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.

7 pages, LaTeX, 2 figures

References in corpus (3)

• (De)Constructing Dimensions
• Gauge Invariant Effective Lagrangian for Kaluza-Klein Modes
• Shape versus Volume: Making Large Flat Extra Dimensions Invisible

Cited by in corpus (22)

• Six-Dimensional Gauge Theory on the Chiral Square
• Origami World
• NLO QCD corrections to graviton production at hadron colliders
• Simulating graviton production at hadron colliders
• Probing the Geometry of Warped String Compactifications at the LHC
• Kaluza-Klein States versus Winding States: Can Both Be Above the String Scale?
• New Regulators for Quantum Field Theories with Compactified Extra Dimensions. I: Fundamentals
• The Shape of Compact Toroidal Dimensions $T_{\theta }^d$ and the Casimir Effect on $M^D\times T_{\theta }^d$ spacetime
• The shape of a small universe: signatures in the cosmic microwave background
• Kaluza-Klein Masses and Couplings: Radiative Corrections to Tree-Level Relations
• A bulk inflaton from large volume extra dimensions
• Isospectral But Physically Distinct: Modular Symmetries and their Implications for Carbon Nanotori
• Signatures of Singlet Neutrinos in Large Extra Dimensions at the LHC
• Establishing Analogies between the Physics of Extra Dimensions and Carbon Nanotubes
• Shape of Deconstruction
• Cosmological Constant Probing Shape Moduli through Large Extra Dimensions
• Testing extra dimensions with boundaries using Newton's law modifications
• (Re)constructing Dimensions
• Extra-dimensional confinement of quantum particles
• Topological Casimir effect in models with helical compact dimensions
• Can we live in the bulk without a brane?
• DLCQ On a Twisted Torus