Orbifold compactification and solutions of Mtheory from Milne spaces
Abstract
In this paper, we consider solutions and spectral functions of Mtheory from Milne spaces with extra free dimensions. Conformal deformations to the metric associated with real hyperbolic space forms are derived. For the threedimensional case, the orbifold identifications {SL}(2,{mathbb{Z}} + {i}{mathbb{Z}})/\{± {Id}\}, where Id is the identity matrix, is analyzed in detail. The spectrum of an elevendimensional field theory can be obtained with the help of the theory of harmonic functions in the fundamental domain of this group and it is associated with the cusp forms and the Eisenstein series. The supersymmetry surviving for supergravity solutions involving real hyperbolic space factors is briefly discussed.
 Publication:

European Physical Journal C
 Pub Date:
 February 2005
 DOI:
 10.1140/epjc/s2005021171
 arXiv:
 arXiv:hepth/0501008
 Bibcode:
 2005EPJC...39..519B
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Mathematics  Geometric Topology
 EPrint:
 14 pages, no figures. To appear in The European Physical Journal C  Particles and Fields