Universal dS vacua in STU-models

TL;DR

This work demonstrates that stable de Sitter vacua can be constructed in STU-models from type IIB compactifications with generalized fluxes by solving the moduli equations analytically through a cubic expansion of the superpotential and a duality-driven reduction to the origin of moduli space. By systematically exploiting the sGoldstino bound and degeneracy conditions, the authors identify universal dS vacua near supersymmetric and no-scale Minkowski points, without requiringPolonyi-type fields. They provide explicit examples with 32 fluxes that realize stable dS near SUSY Mkw and near no-scale Mkw, including cases with two or three massless directions and mappings between perturbative fluxes and non-perturbative-like effects. The results suggest that a perturbative, duality-covariant flux framework suffices to generate robust dS vacua and motivate further exploration of geometric interpretations and phenomenological hierarchies.

Abstract

Stable de Sitter solutions in minimal F-term supergravity are known to lie close to Minkowski critical points. We consider a class of STU-models arising from type IIB compactifications with generalised fluxes. There, we apply an analytical method for solving the equations of motion for the moduli fields based on the idea of treating derivatives of the superpotential of different orders up to third as independent objects. In particular, supersymmetric and no-scale Minkowski solutions are singled out by physical reasons. Focusing on the study of dS vacua close to supersymmetric Minkowski points, we are able to elaborate a complete analytical treatment of the mass matrix based on the sGoldstino bound. This leads to a class of interesting universal dS vacua. We finally explore a similar possibility around no-scale Minkowski points and discuss some examples.

Figures (4)

• Figure 1: Stable (red) and dS (blue) points for solutions close to a SUSY Mkw point (in the origin). The axes correspond to $\mathrm{Re}[F_{S}] \, = \, \epsilon$ and $\mathrm{Re}[F_{T}] \, = \, \lambda_T \, \epsilon$.
• Figure 2: Stable (red) and dS (blue) points for solutions close to a no-scale point (in the origin). The axes correspond to $\mathrm{Re}[F_{S}] \, = \, \epsilon$ and $\mathrm{Re}[F_{U}] \, = \, \lambda_U \, \epsilon$. Each plot shows a different scale. The regions of overlap are connected no-scale points with 2 massless modes.
• Figure 3: Eigenvalues of ${\left(m^{2}\right)^{I}}_{J}$ (red) as a function of $\epsilon$, shown in a loglog plot for a stable dS solution close to a no-scale point with 3 massless states. For reference, linear (blue), quadratic (yellow) and cubic (green) dependences are shown. Two of the massive states share a similar value (around $10^{-2}$).
• Figure 4: Eigenvalues of ${\left(m^{2}\right)^{I}}_{J}$ (red) as a function of $\epsilon$, shown in a loglog plot for an unstable dS solution close to a no-scale point with 3 massless states. In the plot on the left we see the 5 positive masses (notice that one is linear). Two of the massive states share a similar value (around 0.003). The sixth mass is negative and in the plot on the right we plot its absolute value. For reference, linear (blue), and quadratic (yellow) dependences are shown.