Exploiting N=2 in consistent coset reductions of type IIA

TL;DR

This paper investigates consistent N=2 supergravity reductions from type IIA supergravity on SU(3) structure cosets, analyzing supersymmetric and non-supersymmetric solutions, including de Sitter vacua constraints.

Contribution

It establishes the consistency of N=2 truncations via left-invariance and explores flux quantization and de Sitter solution constraints in these models.

Findings

Proves the consistency of N=2 truncations on cosets.

Identifies no-go conditions for de Sitter solutions at string tree level.

Provides preliminary analysis on de Sitter vacua at all string loop orders.

Abstract

We study compactifications of type IIA supergravity on cosets exhibiting SU(3) structure. We establish the consistency of the truncation based on left-invariance, providing a justification for the choice of expansion forms which yields gauged N=2 supergravity in 4 dimensions. We explore N=1 solutions of these theories, emphasizing the requirements of flux quantization, as well as their non-supersymmetric companions. In particular, we obtain a no-go result for de Sitter solutions at string tree level, and, exploiting the enhanced leverage of the N=2 setup, provide a preliminary analysis of the existence of de Sitter vacua at all string loop order.