Fully stable dS vacua from generalised fluxes

Abstract

We investigate the possible existence of (meta-)stable de Sitter vacua within N=1 compactifications with generalised fluxes. With the aid of an algorithm inspired by the method of differential evolution, we were able to find three novel examples of completely tachyon-free de Sitter extrema in a non-isotropic type IIB model with non-geometric fluxes. We also analyse the surroundings of the aforementioned points in parameter space and chart the corresponding stability regions. These happen to occur at small values of the cosmological constant compared to the AdS scale.

Figures (1)

• Figure 1: The parameter space of solutions around Sol. 1, 2 and 3 (top, center and bottom), projected on the $\left(A_{S},B_{S}\right)$ plane. The origin in each picture is the found stable dS. Left: Level curves of the cosmological constant; the dS regions are the ones filled with lighter colours next to the Minkowski (blue dashed) lines. Middle: Level curves of the $\eta$ parameter; the tachyon-free regions are filled with darker colours. Right: The tiny region of overlap in parameter space corresponding with stable dS is zoomed in here.