Pietro Pelliconi (University of Geneva)

Integrable Models and Supersymmetry Breaking in String Theory

We elaborate on integrable dynamical systems from scalar-gravity Lagrangians, which can be used to describe non–supersymmetric string models. Such models present a tadpole potential for the dilaton, which makes them particularly interesting to study. For example, in the static Dudas-Mourad compactifications from ten to nine dimensions, which rest on the leading perturbative contribution of the potential, the string coupling and the space-time curvature become unbounded in some regions of the internal space. On the other hand, the string coupling remains bounded in several corresponding solutions of these integrable models. One can thus identify corrected potential shapes that could grant these features generically when supersymmetry is absent or non-linearly realized. On the other hand, large scalar curvatures remain present in all our examples. However, as in other contexts, the combined effects of the higher-derivative corrections of String Theory could tame them.