Goldstino Condensation?

TL;DR

This paper critically examines claims of goldstino condensation causing instabilities in supergravity and string models, demonstrating that the proposed models' instabilities are not relevant to the original Volkov-Akulov model or related constructions.

Contribution

The paper shows that the UV limit of a proposed model is discontinuous and that its vacuum instability does not apply to the VA model or related supergravity and string theory models.

Findings

The UV limit of the model is discontinuous.

The proposed vacuum instability is not relevant to VA or related models.

The instability does not affect the validity of the VA model or KKLT.

Abstract

It was argued in \cite{DallAgata:2022abm} that the Volkov-Akulov (VA) model as well as similar models in supergravity and the related KKLT model in string theory, suffer from tachyonic instabilities due to goldstino condensation. The authors of \cite{DallAgata:2022abm} constructed a specific model with two unconstrained interacting chiral superfields with linearly realized supersymmetry which has an unstable vacuum. They claimed that this model becomes equivalent to the VA model in the UV limit. We show that the UV limit of their model is discontinuous, and the vacuum instability of the model proposed in \cite{DallAgata:2022abm} is not relevant to the VA model, to related models in supergravity, and to the KKLT construction.