On the stability of $AdS$ backgrounds with $\lambda$-deformed factors

TL;DR

This paper examines the perturbative stability of non-supersymmetric $AdS$ backgrounds with $lambda$-deformed factors in type-IIB supergravity, identifying stable regions and specific points in parameter space.

Contribution

It provides a systematic stability analysis of $AdS_n$ backgrounds with $lambda$-deformed factors using a lower-dimensional effective theory, revealing stability regions.

Findings

Identified stable regions in the parameter space.

Found isolated points of stability.

Analyzed backgrounds for $n=3,4,6$.

Abstract

We investigate the stability of the non-supersymmetric solutions of type-IIB supergravity having an unwarped $AdS$ factor and $\lambda$-deformed subspaces found in arXiv:1911.12371. Among the plethora of solutions we study the perturbative stability of backgrounds with an $AdS_n$, with $n = 3,4,6$, factor. Our analysis is performed from a lower dimensional effective theory which we construct. We uncover the regions and isolated points in the parameter space of potential perturbative stability.