de Sitter Minima from M theory and String theory

TL;DR

This paper explores the construction of de Sitter and Minkowski vacua in string and M-theory compactifications, identifying discrete minima through fluxes, non-perturbative effects, and gauged supergravity techniques.

Contribution

It introduces new methods to obtain stable Minkowski and de Sitter vacua in M-theory and string theory using fluxes, non-perturbative effects, and gauged supergravity frameworks.

Findings

Discrete supersymmetric Minkowski minima found in M-theory compactifications.

Minkowski minima also achieved in type IIA and type IIB string theories with fluxes.

Procedure for constructing de Sitter vacua from Minkowski solutions demonstrated.

Abstract

We study M-theory compactification on ${\mathbb{T}^7/ \mathbb{Z}_2^3}$ in the presence of a seven-flux, metric fluxes and KK monopoles. The effective four-dimensional supergravity has seven chiral multiplets whose couplings are specified by the $G_2$-structure of the internal manifold. We supplement the corresponding superpotential by a KKLT type non-perturbative exponential contribution for all, or for some of the seven moduli, and find a discrete set of supersymmetric Minkowski minima. We also study type IIA and type IIB string theory compactified on ${\mathbb{T}^6/ \mathbb{Z}_2^2}$. In type IIA, we use a six-flux, geometric fluxes and non-perturbative exponents. In type IIB theory, we use F and H fluxes, and non-geometric Q and P fluxes, corresponding to consistently gauged supergravity with certain embedding tensor components, \emph{without non-perturbative exponents}. Also in these situations, we produce discrete Minkowski minima. Finally, to construct dS vacua starting from these Minkowski progenitors, we follow the procedure of mass production of dS vacua.