M5-branes wrapped on a spindle

Abstract

We construct supersymmetric $Ad{S}_5\times \Sigma$ solutions of $D=7$ gauged supergravity, where $\Sigma$ is a two-dimensional orbifold known as a spindle. These uplift on $S^4$ to solutions of $D=11$ supergravity which have orbifold singularites. We argue that the solutions are dual to $d=4$, $\mathcal{N}=1$ SCFTs that arise from $N$ M5-branes wrapped on a spindle, embedded as a holomorphic curve inside a Calabi-Yau three-fold. In contrast to the usual topological twist solutions, the superconformal R-symmetry mixes with the isometry of the spindle in the IR, and we verify this via a field theory calculation, as well as reproducing the gravity formula for the central charge.

arXiv comment25 pages. Very minor change, published version

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• Equivariant localization in supergravity
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• A plethora of Type IIA embeddings for $d=5$ minimal supergravity
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• $T^{1,1}$ truncation on the spindle
• On the correspondence between black holes, domain walls and fluxes
• Holographic Generalised Gukov-Witten Defects
• NUTs, Bolts, and Spindles
• Branes wrapped on quadrilaterals
• Supersymmetric localisation of $\mathcal{N}=(2,2)$ theories on a spindle
• M5-branes wrapped on four-dimensional orbifolds