Toward metastable string vacua from magnetized branes

TL;DR

This paper investigates the scalar potential of magnetized branes in Type IIB orientifold compactifications, demonstrating conditions for stable, supersymmetric Minkowski vacua and exploring supersymmetry breaking scenarios.

Contribution

It provides explicit conditions and examples for stabilizing moduli and recombination fields, and analyzes the structure of vacua with broken supersymmetry in magnetized brane setups.

Findings

Stable Minkowski vacua with zero vacuum energy are achievable.

Both metric moduli and recombination fields can be stabilized.

Locally stable vacua can exist with broken supersymmetry.

Abstract

The scalar potential of recombination fields of magnetized branes in Type IIB orientifold compactifications is analyzed in the absence of any closed string fluxes. Considering its perturbative F and D-term contributions in a quadratic approximation, we present the conditions for which its minima are supersymmetric. We show that for reasonable conditions on the spectrum, both metric moduli and recombination fields can be stabilized. We then provide explicit examples of compact manifolds where a Minkowski vacuum is realized in a Higgs phase. The vacuum energy is zero and some charged scalars acquire a vev. We then address the question of supersymmetry breaking. The scalar potential for recombination fields is analyzed when supersymmetry is broken by F and D-term. We show that locally stable vacua can exist at the classical level. These are formed by a hidden supersymmetric sector that fixes metric moduli and recombination fields and a visible sector where supersymmetry is spontaneously broken.