Abstract
Tree-level moduli stabilization via geometric and non-geometric fluxes in type IIB orientifolds on Calabi–Yau manifolds is investigated. The focus is on stable non-supersymmetric minima, where all moduli are fixed except for some massless axions. The scenario includes the purely axionic orientifold-odd moduli. A set of vacua allowing for parametric control over the moduli vacuum expectation values and their masses is presented, featuring a specific scaling with the fluxes. Uplift mechanisms and supersymmetry breaking soft masses on MSSM-like D7-branes are discussed as well. This scenario provides a complete effective framework for realizing the idea of F-term axion monodromy inflation in string theory. It is argued that, with all masses close to the Planck and GUT scales, one is confronted with working at the threshold of controlling all mass hierarchies.
Highlights
The central element in relating string theory to the real world is moduli stabilization, i.e. a dynamical mechanism that gives a mass to the ubiquitous massless scalar fields
The aim of this paper is to propose a scenario of moduli stabilization, which is entirely based on the tree-level flux induced scalar potential
Since in later sections we apply our findings to string phenomenology and string cosmology, we focus on the following properties:
Summary
The central element in relating string theory to the real world is moduli stabilization, i.e. a dynamical mechanism that gives a mass to the ubiquitous massless scalar fields. In [49] it was analyzed whether the no-scale scalar potential for the complex structure and axio-dilaton moduli in type IIB orientifolds with NS–NS and R–R three-form fluxes admits nonsupersymmetric minima, where a single axion can be parametrically lighter than the rest of the moduli (see [50] for an alternative approach invoking tunings in the string landscape). These induce a scalar potential which is the one of (orientifolded) N = 2 gauged supergravity. We mostly consider the scenario where an axion can gain a parametrically small mass via turning on additional fluxes In this case we follow the ideas put forward in [49] in the context of no-scale models. In a separate article [73] we discuss a toy model for this kind of scenario, in which the backreaction [74] of the heavy moduli onto the flow of the inflaton can be taken into account analytically
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