Kahler Potential for M-theory on a G_2 Manifold

Details Kahler Potential for M-theory on a G_2 Manifold Kahler Potential for M-theory on a G_2 Manifold

2003-05-09

arxiv.org/abs/hep-th/0305078v2

Phys.Rev. D69 (2004) 066003

Physics

High Energy Physics

High Energy Physics - Theory

31 pages, Latex. Altered discussion of truncation of field content, some typos corrected and references added. Version to appe

Scientific paper

10.1103/PhysRevD.69.066003

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.

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