Dynamical Determination of Dilaton and Moduli Vacuum Expectation Values

TL;DR

This paper presents a method to determine dilaton and moduli vacuum expectation values using one-loop effective potential and topological constraints, incorporating renormalization effects in the Kähler potential, and shows these values can match weak scale measurements.

Contribution

It introduces a novel approach combining topological properties and renormalization effects to dynamically determine vacuum expectation values in string-inspired models.

Findings

Dilaton VEVs are linked to topological properties of spacetime.

Values consistent with weak scale measurements are dynamically obtained.

Inclusion of all-loop renormalization effects in the Kähler potential.

Abstract

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.