Global Orientifolded Quivers with Inflation

TL;DR

The paper constructs explicit global Calabi-Yau orientifolded quiver compactifications with fractional D3-branes at orientifolded singularities, achieving a chiral visible sector and full moduli stabilisation in de Sitter, with inflation driven by a del Pezzo divisor. It provides a concrete dP0-based example with two invariant dP8s, a hidden T-brane uplift, and a careful LARGE Volume Scenario–like potential including non-perturbative and alpha-prime effects. A full moduli spectrum and sequestered soft terms are analyzed, showing no low-energy supersymmetry for moderate volumes and a natural axionic dark matter candidate. A thorough multi-field inflation analysis demonstrates viable inflation with a small tensor-to-scalar ratio and proper amplitude of perturbations, along with a post-inflation modulus-dominated era and potential dark radiation, illustrating the rich cosmological implications of global orientifolded quivers.

Abstract

We describe global embeddings of fractional D3 branes at orientifolded singularities in type IIB flux compactifications. We present an explicit Calabi-Yau example where the chiral visible sector lives on a local orientifolded quiver while non-perturbative effects, $α'$ corrections and a T-brane hidden sector lead to full closed string moduli stabilisation in a de Sitter vacuum. The same model can also successfully give rise to inflation driven by a del Pezzo divisor. Our model represents the first explicit Calabi-Yau example featuring both an inflationary and a chiral visible sector.

Figures (8)

• Figure 1: Global embedding of a local oriented quiver coming from fractional D3 branes at singularities. The action of the orientifold involution is represented by the dashed line. The involution exchanges two identical quivers. An additional del Pezzo divisor can support either an ED3-instanton or a D7 stack with gaugino condensation. Due to the presence of non-zero gauge fluxes, the large four-cycle tends to be wrapped by a hidden D7 stack (T-brane) which is responsible for a dS vacuum.
• Figure 2: Global embedding of an orientifolded quiver. The action of the orientifold involution is represented by the dashed line. The two del Pezzo divisors in the geometric regime support ED3-instantons while the large four-cycle is wrapped by a hidden D7 stack (T-brane) which is responsible for a dS vacuum. Both the ED3-instantons and the D7 T-brane wrap invariant divisors.
• Figure 3: Global embedding of an orientifolded quiver. The action of the orientifold is represented by the dashed line. The two del Pezzo divisors in the geometric regime are wrapped by ED3-instantons which are exchanged under the involution, and so lead to a $U(1)$ instanton. The large (orientifold invariant) cycle is instead wrapped by a D7 T-brane stack that gives rise to a dS vacuum.
• Figure 4: \ref{['sfig:Z3-quiver']} Quiver for $N$ mobile D3 branes probing the $\mathbb{C}^3/\mathbb{Z}_3$ singularity, in the absence of orientifold projection. \ref{['sfig:Z3-SO']} and \ref{['sfig:Z3-USp']} The two possibilities for the theory after orientifolding via the projection described in the text.
• Figure 5: Values of $\tau_s$, ${\mathcal{V}}$ and $|W_0|/|A_s|$ which give $\langle V\rangle=0$ as a function of the string coupling $g_s$.