Slow-Roll Inflation in Non-geometric Flux Compactification

Abstract

By implementing a genetic algorithm we search for stable vacua in Type IIB non-geometric flux compactification on an isotropic torus with orientifold 3-planes. We find that the number of stable dS and AdS vacua are of the same order. Moreover we find that in all dS vacua the multi-field slow-roll inflationary conditions are fulfilled. Specifically we observe that inflation is driven by the axio-dilaton and the Kähler moduli. We also comment on the existence of one stable dS vacuum in the presence of exotic orientifolds.

Figures (9)

• Figure 1: Landscape for non- SUSY vacua with SUSY broken through the complex structure. (a) AdS, (b) dS.
• Figure 2: Coupling constant versus volume of the internal space for all vacua. De Sitter vacua are marked as $\otimes$ while AdS vacua are marked as $\times$.
• Figure 3: Landscape for SUSY breaking through all the moduli: (a) AdS vacua, (b) dS vacua
• Figure 4: Coupling constant versus volume of the internal space.
• Figure 5: Projections of parameter $\epsilon$ in the plane a) $\psi_2$-$\psi_3$ b) $\psi_2$-$\phi_3$ c) $\phi_2$-$\psi_2$ d) $\phi_2$-$\psi_3$ e) $\phi_2$-$\phi_3$ f) $\phi_3$-$\psi_3$. The rest two real moduli are kept constant at their vev. The red circle denotes the position of the vev's for the two real fields.