Building MSSM Flux Vacua

TL;DR

This paper constructs flux vacua in Type IIB string theory that stabilize moduli, avoid tadpole instabilities, and include models with MSSM-like spectra, offering new insights into consistent string compactifications.

Contribution

It introduces new flux compactification models with stabilized moduli and MSSM spectra, including N=0 models with supersymmetry breaking, and discusses their phenomenological and consistency aspects.

Findings

Constructed N=1 and N=0 flux vacua with stabilized moduli.

Found MSSM-like spectra with three generations of chiral matter.

Identified constraints from K-theory charges affecting model consistency.

Abstract

We construct N=1 and N=0 chiral four-dimensional vacua of flux compactification in Type IIB string theory. These vacua have the common features that they are free of tadpole instabilities (both NSNS and RR) even for models with N=0 supersymmetry. In addition, the dilaton/complex structure moduli are stabilised and the supergravity background metric is warped. We present an example in which the low energy spectrum contains the MSSM spectrum with three generations of chiral matter. In the N=0 models, the background fluxes which stabilise the moduli also induce soft supersymmetry breaking terms in the gauge and chiral sectors of the theory, while satisfying the equation of motion. We also discuss some phenomenological features of these three generation MSSM flux vacua. Our techniques apply to other closed string backgrounds as well and, in fact, also allow to find new N=1 D-brane models which were believed not to exist. Finally, we discuss in detail the consistency conditions of these flux compactifications. Cancellation of K-theory charges puts additional constraints on the consistency of the models, which render some chiral D-brane models in the literature inconsistent.