Flux Compactifications, Gauge Algebras and De Sitter

TL;DR

This paper investigates whether flux compactifications in N=4 theories can produce De Sitter vacua, concluding that the resulting gauge algebras do not match the known gaugings that admit such solutions.

Contribution

It identifies the gauge algebra structure in N=4 flux compactifications and shows it does not correspond to known De Sitter gaugings, highlighting limitations in current models.

Findings

Fluxes lead to non-semi-simple gauge algebras.

Known De Sitter solutions involve semi-simple or direct product algebras.

N=4 flux compactifications do not produce the gaugings with De Sitter vacua.

Abstract

The introduction of (non-)geometric fluxes allows for N=1 moduli stabilisation in a De Sitter vacuum. The aim of this letter is to assess to what extent this is true in N=4 compactifications. First we identify the correct gauge algebra in terms of gauge and (non-)geometric fluxes. We then show that this algebra does not lead to any of the known gaugings with De Sitter solutions. In particular, the gaugings that one obtains from flux compactifications involve non-semi-simple algebras, while the known gaugings with De Sitter solutions consist of direct products of (semi-)simple algebras.