A New Mechanism of Kahler Moduli Stabilization in Type IIB Theory

TL;DR

This paper introduces a novel mechanism for stabilizing all Kahler moduli in Type IIB string theory compactifications using fluxes, magnetic fields, and Fayet-Iliopoulos terms, leading to stable vacua with zero energy.

Contribution

It presents a new approach to moduli stabilization at leading order in ' by combining fluxes, magnetic fields, and FI terms, applicable to orientifolded Calabi-Yau compactifications.

Findings

All closed string moduli can be stabilized at leading order.

The mechanism yields vacua with zero energy for ISD fluxes.

Concrete example on T^6/Z_2xZ_2 orientifold demonstrates the approach.

Abstract

We study the scalar potential in supersymmetric (orientifolded) Calabi Yau compactifications of Type IIB theory. We present a new mechanism to stabilize all closed string moduli at leading order in \alpha^{'} by introducing consistently fluxes. As usual we consider the dilaton and the complex structure moduli stabilized by turning on three-form fluxes that couple to the F-part of the scalar potential. Kahler moduli get fixed by the combined action of the flux-induced scalar masses with magnetic fields of the open string sector, and Fayet-Illiopoulos terms. For supersymmetric three-form fluxes the model is N=1, otherwise the mass terms are the scalar soft breaking terms of the SM fields. For the case of imaginary self dual three-form fluxes (ISD), the mass terms are positive and the minimum at the potential is at exactly zero energy. We argue that, under generic assumptions, this is a general mechanism for the full stabilization of closed string moduli. The vacua depend explicitly on the fluxes introduced in the manifold. A concrete realization of this mechanism on type IIB on a (T^ {6}/Z_{2}xZ_{2}) orientifold is provided.