De Sitter Vacua from Non-perturbative Flux Compactifications

Abstract

We present stable de Sitter solutions of $\mathcal{N} = 1$ supergravity in a geometric type IIB duality frame with the addition of non-perturbative contributions. Contrary to the standard approach, we retain the moduli dependence of both the tree level superpotential and its non-perturbative contribution. This provides the possibility for a single-step stabilisation of all moduli simultaneously in a de Sitter vacuum. Using a genetic algorithm we find explicit solutions with different features.

8 pages, 2 figures, 2 tables. v2: 5 pages, 1 figure, 2 tables. Careful rephrasing of motivation and approach, added flux-quantisation example, corrected error in Table 1.. Version accepted for publication in PRD