Dynamical Determination of Dilaton and Moduli Vacuum Expectation Values

We determine the dilaton and moduli vacuum expectation values using the one-loop effective potential and topological constraints. A new ingredient of this analysis is that we use a dilaton K\"ahler potential that includes renormalization effects to all loops. We find that the dilaton vacuum expectation value is related to certain topological properties of the compact spacetime. We demonstrate that values of the dilaton vacuum expectation value that are consistent with the weak scale measurements can be dynamically obtained in this fashion.