Physical Vacua in IIB Compactifications with a Single Kaehler Modulus

TL;DR

This work investigates type IIB flux compactifications on Calabi–Yau orientifolds with a single Kähler modulus, aiming to realize de Sitter vacua and TeV-scale SUSY. It combines analytic large‑volume techniques that include $rac{\alpha'}$ corrections with non‑perturbative superpotentials, and a Taylor‑expansion/tuning approach to locate minima when SUSY is broken in the Kähler modulus and (in some cases) the axio-dilaton. A concrete four‑term numerical example achieves a Minkowski minimum with $m_{3/2}$ in the TeV range and soft masses of a few TeV, illustrating that TeV‑scale phenomenology is achievable in a single‑modulus setup with appropriately chosen fluxes; the analysis also discusses stability against quantum corrections and FCNC constraints, and compares to LVS where similar phenomenology is harder to realize. An appendix explores a RaceTrack extension with two non‑perturbative terms, finding only marginal improvements over the basic single‑modulus scenario. Overall, the paper demonstrates that single‑modulus IIB constructions can produce physically plausible vacua, with tunable SUSY breaking scales, albeit at the cost of flux‑driven parameter tuning.

Abstract

We search for phenomenologically viable vacua of IIB string flux compactifications on Calabi-Yau orientifolds with a single Kaehler modulus. We perform both analytic studies and numerical searches in order to find models with de Sitter vacua and TeV-scale SUSY particle phenomenology.

Figures (2)

• Figure 1: Vmin for $<\!\!t\!\!> =40$
• Figure 2: Vmin for $<\!\!s\!\!> =2.1$