Moduli stabilization with F-term uplifting in heterotic string theory

TL;DR

This paper explores how F-term uplifting stabilizes moduli in heterotic string theory, fixing the volume modulus at self-dual points and leading to specific supersymmetry breaking patterns, with implications for particle physics models.

Contribution

It demonstrates the role of F-term uplifting in fixing the volume modulus at self-dual points and extends the analysis to include anomalous U(1) sectors affecting sfermion masses.

Findings

F-term uplifting stabilizes the volume modulus at self-dual points.

U(1) sector contributes significantly to sfermion masses.

Mirage mediation pattern of supersymmetry breaking is maintained.

Abstract

We discuss the role of F-term uplifting in stabilizing moduli within the framework of heterotic string theory. It turns out that the uplifting sector plays an important role in fixing the volume modulus at one of the self-dual points of a modular invariant potential. For the volume modulus stabilized at a self-dual point, the F-term uplifting leads to the dilation stabilization which can naturally yield the mirage mediation pattern of soft supersymmetry breaking terms. Generalizing to the case with anomalous U(1) gauge symmetry, we also find that the U(1) sector generically gives a contribution to sfermion masses comparable to the dilaton mediated one while maintaining the mirage mediation pattern.