ISSN:
1434-6052
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract. In this paper, we consider solutions and spectral functions of M-theory from Milne spaces with extra free dimensions. Conformal deformations to the metric associated with real hyperbolic space forms are derived. For the three-dimensional case, the orbifold identifications ${\mathrm{SL}}(2,{\mathbb{Z}} + {\mathrm{i}}{\mathbb{Z}})/\{\pm {\mathrm{Id}}\}$ , where Id is the identity matrix, is analyzed in detail. The spectrum of an eleven-dimensional 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.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1140/epjc/s2005-02117-1
