Nernst branes with Lifshitz asymptotics in N $$ mathcal{N} $$ = 2 gauged supergravity

We discuss two classes of non-supersymmetric interpolating solutions in $$ mathcal{n} $$ = 2, d = 4 gauged supergravity, that flow from either a z = 2 lifshitz geometry or a conformal ads background to the near-horizon geometry of a nernst brane. we obtain these solutions by constructing a z = 2 supersymmetric lifshitz solution in the stu model from a first-order rewriting of the action, then lifting it up to a five-dimensional background and subsequently modifying this five-dimensional solution by a two-parameter family of deformations. under reduction, these give four-dimensional non-supersymmetric nernst brane solutions. this is a step towards resolving the lifshitz tidal force singularity in the context of $$ mathcal{n} $$ = 2 gauged supergravity and suggests an approach to encoding the nernst brane in terms of the schrödinger symmetry group of the holographically dual field theory.