A D-Brane Landscape on Calabi-Yau Manifolds

TL;DR

This work studies magnetized nonsupersymmetric D5-branes on Calabi–Yau orientifolds with fluxes, showing that supergravity D-terms reproduce SUSY-breaking effects predicted by Pi-stability and that a brane–flux superpotential governs the coupled open-closed string dynamics. By leveraging orientifold mirror symmetry, the authors compute D-term contributions in a controlled LG/LCS regime and connect them to Pi-stability, then formulate a brane–RR flux superpotential that, together with fluxes, can generate a landscape of metastable nonsupersymmetric vacua. They derive explicit D-term expressions and analyze F-term versus D-term contributions near the LG point, concluding that metastable vacua can arise through flux tuning, potentially yielding de Sitter or anti-de Sitter vacua. The work provides a framework for exploring the open-string landscape on Calabi–Yau manifolds and highlights the role of fluxes in shaping nonsupersymmetric vacua and SUSY-breaking scales.

Abstract

We explore the dynamics of magnetized nonsupersymmetric D5-brane configurations on Calabi-Yau orientifolds with fluxes. We show that supergravity D-terms capture supersymmetry breaking effects predicted by more abstract Pi-stability considerations. We also examine superpotential interactions in the presence of fluxes, and investigate the vacuum structure of such configurations. Based on the shape of the potential, we argue that metastable nonsupersymmetric vacua can be in principle obtained by tuning the values of fluxes.

Figures (2)

• Figure 1: The behavior of the relative phase $\theta$ near the LG point for three different values of $p$. Red corresponds to $p=10$, blue corresponds to $p=20$ and green corresponds to $p=30$.
• Figure 2: The behavior of the relative phase $\Delta\phi$ in the geometric phase for $p=10$.