Cosmological and phenomenological consequences of string theories

TL;DR

This paper explores string theory-inspired models with extra dimensions, focusing on their implications for symmetry breaking, supersymmetry, and moduli stabilization, with potential relevance for particle physics and cosmology.

Contribution

It introduces new models with two extra dimensions that induce dynamical symmetry breaking and presents a moduli stabilization mechanism with realistic supersymmetry breaking scale.

Findings

Models with two extra dimensions can trigger dynamical symmetry breaking.

A moduli stabilization scheme yields a light gravitino (~10 TeV).

The models allow for a small cosmological constant.

Abstract

The Standard Model is the low-energy limit of a microscopic theory which includes extra dimensions and new symmetries. A part of my thesis consisted in constructing a new class of models with two extra dimensions. We showed that these models can drive a dynamical symmetry breaking in four dimensions. In particular, they are dual to models with four fermions which need a non-perturbative treatment. We also studied supersymmetry and its local version, supergravity, in string theory inspired models with ten dimensions. Extra fields called moduli are present after dimensional reduction and are generically flat directions of the total potential. We constructed a model of stabilisation for the moduli in which the supersymmetry breaking yields a light gravitino mass of order 10 TeV. The cosmological constant can be adjusted to be very small. Such models exhibit a promising phenomenology.