Moduli Kähler potential for M theory on a G_{2} manifold
Abstract
We compute the moduli Kähler 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 Kähler metric are computed directly by integration over harmonic forms. We also discuss the modification of our result in the presence of codimensionfour singularities and derive the gaugekinetic functions for the massless gauge fields that arise in this case.
 Publication:

Physical Review D
 Pub Date:
 March 2004
 DOI:
 10.1103/PhysRevD.69.066003
 arXiv:
 arXiv:hepth/0305078
 Bibcode:
 2004PhRvD..69f6003L
 Keywords:

 11.25.Yb;
 11.25.Mj;
 11.25.Wx;
 M theory;
 Compactification and fourdimensional models;
 String and brane phenomenology;
 High Energy Physics  Theory
 EPrint:
 31 pages, Latex. Altered discussion of truncation of field content, some typos corrected and references added. Version to appear in Phys. Rev .D