We probe the stability of supergravity theories in the scalar sector using the sGoldstino fields. These are singled out by supersymmetry breaking and are particularly sensitive to instability.
Projecting the squared mass matrix on those directions, a series of necessary conditions for the stability of stationary points have been derived for minimal and next to minimal supergravity.
We extend the analysis to (half-)maximal gauged supergravity and find a narrow window of possibly stable stationary points. Interestingly, some constraints on the viability of inflation can be derived using the same approach.