O6-plane backreaction on scale-separated Type IIA AdS$_3$ vacua

TL;DR

This paper investigates the backreaction effects of O6-planes in scale-separated AdS3 flux vacua of massive Type IIA string theory, demonstrating that corrections remain controlled and small when sources are localized.

Contribution

It provides a detailed analysis showing that backreaction corrections are subleading and controlled in the scale-separation limit, applicable to both supersymmetric and non-supersymmetric vacua.

Findings

Backreaction corrections are subleading in the scale-separation limit.

Corrections to background fields and moduli are controlled when sources are localized.

Results apply to both supersymmetric and non-supersymmetric vacua.

Abstract

We evaluate the backreaction of O6-planes in scale-separated $\text{AdS}_3$ flux vacua of massive Type IIA. Using the appropriate flux scaling we show that the corrections to the various background fields and moduli are controlled and subleading when going from smeared to localized sources. Similarly, the backreaction corrections to the scalar potential are parametrically small in the scale-separation limit, assuming always that the near-O6-plane singularities will find a resolution within string theory, even in the presence of a Romans mass. Our analysis is based on the equations of motion and therefore applies also to the non-supersymmetric vacua.