Metastability window for an anti‑D3‑brane in a Klebanov–Strassler throat

Determine the precise range of the ’t Hooft coupling g_s M for which a single anti‑D3‑brane at the bottom of a Klebanov–Strassler throat remains metastable after accounting for α′ corrections and other subleading effects beyond the original KPV analysis.

Background

The Kachru–Pearson–Verlinde (KPV) metastability condition receives α′ corrections, and recent studies suggest sizable corrections unless g_s M is large. The authors therefore concentrate on solutions with g_s M ≳ 1 but do not establish the full range in which metastability holds.

Clarifying this metastability window is essential for assessing the robustness of the uplift mechanism in KKLT‑type constructions.

References

In this work we focus on finding explicit solutions in which g_s M \gtrsim 1, leaving the important question of what the actual range of g_s M for which the anti-D3-brane state remains metastable is for future work.

— Candidate de Sitter Vacua (2406.13751 - McAllister et al., 19 Jun 2024) in Section 3, Anti‑D3‑branes in Klebanov‑Strassler throats