Anti-brane uplift instability from goldstino condensation

TL;DR

This paper analyzes the stability of anti-brane uplift models in string theory, revealing that composite goldstino states lead to instabilities in the de Sitter vacua, which could impact model viability.

Contribution

It provides a detailed analysis of goldstino composite states and demonstrates their role in destabilizing anti-brane uplifted de Sitter solutions.

Findings

The Volkov-Akulov model's critical point is unstable.

Uplifted KKLT de Sitter vacua become tachyonic.

Goldstino condensation induces a universal instability.

Abstract

We investigate the possible appearance of composite states of the goldstino in models with four-dimensional non-linear supersymmetry and we provide a description of their dynamics in terms of a K\"ahler potential and a superpotential. Our analysis shows that the critical point corresponding to the Volkov-Akulov model is unstable. Similarly, we find that the uplifted stable de Sitter critical point of the KKLT model is shifted and acquires a tachyonic instability. Our findings indicate the existence of a potentially dangerous instability shared by all anti-brane uplifts.