Prof Andre Lukas

Abstract:

We compute the moduli Kähler potential for M theory on a compact manifold of [Formula Presented] holonomy in a large radius approximation. Our method relies on an explicit [Formula Presented] 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 codimension-four singularities and derive the gauge-kinetic functions for the massless gauge fields that arise in this case. © 2004 The American Physical Society.

Abstract:

We study the time evolution of freely rolling moduli in the context of M-theory on a G2 manifold. This free evolution approximates the correct dynamics of the system at sufficiently large values of the moduli when effects from non-perturbative potentials and flux are negligible. Moduli fall into two classes, namely bulk moduli and blow-up moduli. We obtain a number of non-trivial solutions for the time-evolution of these moduli. As a generic feature, we find the blow-up moduli always expand asymptotically at early and late time. © SISSA/ISAS 2004.