Supersymmetric spindles

Abstract

In the context of holography, we analyse aspects of supersymmetric geometries based on two-dimensional orbifolds known as spindles. By analysing spin${}^c$ spinors on a spindle with an azimuthal rotation symmetry we show that under rather general conditions there are just two possibilities, called the `twist' and the `anti-twist', which are determined by the quantized magnetic flux through the spindle. A special case of the twist is the standard topological twist which is associated with constant and chiral spinors. We construct solutions of $D=5$ and $D=4$ STU gauged supergravity theories that are dual to D3-branes and M2-branes wrapping spindles, respectively, which realize both the anti-twist, as seen before, but also the twist. For the wrapped D3-brane solutions we reproduce the central charge of the gravity solution from the dual field theory by analysing the anomaly polynomial of $\mathcal{N}=4$ SYM theory. We also discuss M5-branes wrapped on spindles both from a gravity and a field theory point of view.

Minor changes. Matches published version

References in corpus (9)

• Four-Dimensional SCFTs from M5-Branes
• Gauged supergravity from type IIB string theory on Y^{p,q} manifolds
• D3-branes wrapped on a spindle
• Supersymmetric AdS_3 solutions of type IIB supergravity
• Near-horizon geometries of supersymmetric AdS(5) black holes
• Geometries with Killing Spinors and Supersymmetric AdS Solutions
• Toric geometry and the dual of $c$-extremization
• Fibred GK geometry and supersymmetric $AdS$ solutions
• C-metrics in Gauged STU Supergravity and Beyond

Cited by in corpus (2)

• D4-branes wrapped on a spindle
• Five-branes wrapped on topological disks from 7D N=2 gauged supergravity