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

TL;DR

This paper constructs new supersymmetric $AdS_2\times \Sigma$ solutions in $D=4$ gauged supergravity, which can describe near-horizon geometries of accelerating black holes and uplift to $D=11$ supergravity.

Contribution

It introduces novel $AdS_2\times \Sigma$ solutions with hyperscalars, including non-coprime orbifolds, and explores their holographic RG flow endpoints.

Findings

Solutions can have non-coprime orbifold structures.

Hyperscalar fields can vanish at poles, affecting geometry.

Solutions uplift to smooth $AdS_2\times Y_9$ in $D=11$ supergravity.

Abstract

We construct new classes of supersymmetric $AdS_2\times \Sigma$ solutions, where $\Sigma=\Sigma(n_N,n_S)$ 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 $AdS_2\times Y_9$ 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 $AdS_2$ solutions with non-vanishing hyperscalar can naturally arise as the endpoint of holographic RG flows, triggered by relevant hyperscalar deformations of the $AdS_2$ solutions of the STU model.