The effect of Wilson line moduli on CP-violation by soft supersymmetry breaking terms

TL;DR

This paper explores how Wilson line moduli influence CP-violation in soft supersymmetry-breaking terms within orbifold compactifications, focusing on the role of modular symmetry and non-perturbative effects.

Contribution

It analyzes the impact of Wilson line moduli and non-perturbative superpotentials on CP-violating phases in a specific string theory framework.

Findings

CP-violating phases are affected by Wilson line moduli.

Large non-perturbative corrections significantly influence CP violation.

Modular symmetry plays a crucial role in the analysis.

Abstract

The CP-violating phases in the soft supersymmetry-breaking sector in orbifold compactifications with a continuous Wilson line are investigated. In this case the modular symmetry is the Siegel modular group $Sp(4,Z)$ of genus two. In particular, we study the case that the hidden sector non-perturbative superpotential is determined by the Igusa cusp form ${\cal C}_{12}$ of modular weight 12. The effect of large non-perturbative corrections to the dilaton K\"ahler potential on the resulting CP-violating phases is also investigated.