Warped G$_2$-throats in IIA and uplift dSillusions

TL;DR

This paper investigates the feasibility of uplifting classical AdS3 vacua in type IIA flux compactifications to dS3 vacua using warped throats and anti-D2 branes, revealing fundamental constraints on such uplift mechanisms.

Contribution

It analyzes the flux stabilization of CGLP-type throats in G2 manifolds and identifies key consistency constraints that prevent uplift from anti-branes in classical vacua.

Findings

Uplifting from anti-branes in classical AdS3 vacua is forbidden due to consistency constraints.

Quantum-corrected vacua may allow uplift, with constraints acting in opposite directions.

Potential for greater fine-tuning flexibility compared to 4d models.

Abstract

Flux compactifications of IIA supergravity on orientifolded G$_2$-manifolds have been argued to allow for classical Minkowski$_3$ vacua with moduli and scale-separated AdS$_3$ vacua with full moduli stabilisation. To further uplift these vacua to meta-stable dS$_3$ vacua using anti-D2 branes, warped throats are desirable. We study the flux-stabilisation of local "CGLP-type" throats in compact G$_2$ spaces, and discuss consistency constraints on anti-brane uplifting. Despite the classical AdS$_3$ vacua to be free of tachyons, we find that uplifting from anti-branes down warped throats is forbidden. If instead we rely on hypothetical AdS$_3$ vacua that arise from quantum corrections to the classical Minkowski$_3$ vacua, we find that (similarly to the 4d analogues) consistency constraints point in opposite directions. However, there is potentially an advantage over 4d when it comes to concrete fine-tuning freedom of numbers, such as tadpole constraints.