Spindle solutions, hyperscalars and smooth uplifts

TL;DR

This paper constructs new $AdS_3$ solutions in type IIB supergravity with complex internal geometries, exploring non-coprime spindle parameters and hyperscalar fluxes, revealing rich dual 2D SCFT structures.

Contribution

It introduces novel $AdS_3$ solutions with non-coprime spindle parameters and hyperscalar flux configurations, expanding the landscape of holographic duals in supergravity.

Findings

Solutions include non-unique uplifts distinguished by hyperscalar spectra.

Allowing hyperscalar to vanish at poles yields solutions with non-zero $U(1)_B$ flux.

Solutions can emerge as endpoints of RG flows triggered by hyperscalar deformations.

Abstract

We construct $AdS_3\times Y_7$ solutions of type IIB supergravity, where $Y_7$ is a smooth $S^5$ bundle over a spindle $\Sigma(n_N,n_S)$, which are dual to $\mathcal{N}=(0,2)$ SCFTs in $d=2$. The solutions are constructed using the $D=5$ STU $U(1)^3$ gauged supergravity theory coupled to a hyperscalar charged under $U(1)_B$. We investigate spindle solutions with two new features: first, we allow $(n_N,n_S)$ to be non-coprime integers, including orbifolds of the round $S^2$, which can lead to non-unique, inequivalent uplifts, distinguished by the hyperscalar spectra, for given magnetic flux through the spindle. Second, we also allow the hyperscalar to vanish at the poles leading to solutions carrying non-vanishing $U(1)_B$ flux. The new hyperscalar $AdS_3$ solutions can naturally arise as the endpoint of RG flows, triggered by relevant hyperscalar deformations of the $AdS_3$ solutions of the STU model.