Orbifold compactification and solutions of M-theory from Milne spaces
Departamento de Física, Universidade Estadual de Londrina, Caixa Postal 6001, Londrina-Paraná, Brazil
2 Departamento de Matemática, Universidade de Brasília, Campus Universitário, Brasília-DF, Brazil
3 Laboratoire de Physique Théorique des Liquides (UMR 7600), Université Pierre et Marie Curie, Tour 22, 4-éme étage, Boîte 142, 4, Place Jussieu, 75005, Paris, France
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 , 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.
© Springer-Verlag, 2005