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De Sitter Vacua from Non-perturbative Flux Compactifications

Johan Blåbäck, Diederik Roest, Ivonne Zavala

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.

De Sitter Vacua from Non-perturbative Flux Compactifications

Abstract

We present stable de Sitter solutions of 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.

Paper Structure

This paper contains 14 equations, 1 figure, 2 tables.

Figures (1)

  • Figure 1: The stability (non-normalised mass) (left) and dS (right) landscape of Sol.$~2$. The solution is located at the origin. The pictures are a 2D slice of the parameters $x = -e(9B_1 -2 B_2 -B_2)/2$ and $y = -e(7A_1 - 2A_2 - A_3)/6$ that are part of a linear combination of $A_I,B_I$ in eq. (\ref{['eq:SBP']}).