Spindle solutions with hyperscalars in $D=4$ gauged supergravity

Abstract

We construct new classes of supersymmetric $Ad{S}_2\times \hat{I}\pounds$ solutions, where $\hat{I}\pounds =\hat{I}\pounds (n_N,n_S)$ is a spindle. Such solutions can arise as the near horizon limit of supersymmetric, accelerating black holes. The solutions are constructed using $D=4$ STU $U(1{)}^4$ gauged supergravity theory coupled to a charged hyperscalar, and can be uplifted to obtain smooth, supersymmetric $Ad{S}_2\times Y_9$ solutions of $D=11$ supergravity. We allow $(n_N,n_S)$ to be non-coprime integers, including orbifolds of the round $S^2$. We also allow the hyperscalar to vanish at the poles. The $Ad{S}_2$ solutions with non-vanishing hyperscalar can naturally arise as the endpoint of holographic RG flows, triggered by relevant hyperscalar deformations of the $Ad{S}_2$ solutions of the STU model.

76 pages, 9 figures