Kahler Potential for M-theory on a G_2 Manifold

Abstract

We compute the moduli Kahler potential for M-theory on a compact manifold of G_2 holonomy in a large radius approximation. Our method relies on an explicit G_2 structure with small torsion, its periods and the calculation of the approximate volume of the manifold. As a verification of our result, some of the components of the Kahler metric are computed directly by integration over harmonic forms. We also discuss the modification of our result in the presence of co-dimension four singularities and derive the gauge-kinetic functions for the massless gauge fields that arise in this case.

31 pages, Latex. Altered discussion of truncation of field content, some typos corrected and references added. Version to appear in Phys. Rev .D

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• Compactified String Theories -- Generic Predictions for Particle Physics
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• G_2 Domain Walls in M-theory
• M2-brane Flows and the Chern-Simons Level
• Gauge Theory RG Flows from a Warped Resolved Orbifold
• Classification and Moduli Kahler Potentials of G_2 Manifolds
• Four-dimensional Effective M-theory on a Singular G_2 Manifold
• Deriving the Inflaton in Compactified M-theory with a De Sitter Vacuum
• M-Theory on the Orbifold C^2/Z_N
• The Minimally Immersed 4D Supermembrane
• Review and Update of the Compactified M/string Theory Prediction of the Higgs Boson Mass and Properties
• Singular manifolds, topology change and the dynamics of compactification
• The evolution of conifolds
• Connecting String/M Theory to the Electroweak Scale and to LHC Data
• Features of deSitter Vacua in M-Theory
• Neutrino mass matrices from localization in M-theory on $G_2$ orbifold
• M-Theory on Manifolds with G_2 Holonomy