Surveying Standard Model Flux Vacua on $T^6/Z_2\times Z_2$

TL;DR

This work analyzes Standard Model embeddings in Type IIB flux compactifications on a $T^6/Z_2\times Z_2$ orientifold, focusing on four-stack visible sectors with $USp(2)$-based $SU(2)$ factors and hidden sectors to satisfy RR tadpoles. It derives concrete consistency rules (RR/NSNS tadpoles, K-theory, and SUSY constraints) and classifies hidden sectors that preserve SUSY on loci in Kahler moduli space, including a high-flux model with $N_{\rm flux}=9$ yielding ~ $10^{33}$ vacua. The paper discusses phenomenological implications such as exotic gauge symmetries, SUSY-breaking mechanisms, and potential unification scenarios, highlighting how landscape statistics could realize SM-like physics in some vacua. It also emphasizes the intertwined roles of moduli stabilization and SUSY breaking, and outlines future directions to achieve full Kahler moduli stabilization and to explore broader orientifold constructions.

Abstract

We consider the SU(2)LxSU(2)R Standard Model brane embedding in an orientifold of T6/Z2xZ2. Within defined limits, we construct all such Standard Model brane embeddings and determine the relative number of flux vacua for each construction. Supersymmetry preserving brane recombination in the hidden sector enables us to identify many solutions with high flux. We discuss in detail the phenomenology of one model which is likely to dominate the counting of vacua. While Kahler moduli stabilization remains to be fully understood, we define the criteria necessary for generic constructions to have fixed moduli.