M5-branes wrapped on a spindle

TL;DR

This paper constructs new supersymmetric solutions in supergravity describing M5-branes wrapped on a spindle, revealing a novel mixing of R-symmetry with the spindle's isometry and matching field theory and gravity results.

Contribution

It introduces supersymmetric $AdS_5$ solutions with spindle orbifolds in $D=7$ supergravity, extending the understanding of M5-branes wrapped on orbifolds and their dual SCFTs.

Findings

Constructed $AdS_5\times \Sigma$ solutions with orbifold singularities.

Demonstrated R-symmetry mixing with spindle isometry in IR.

Matched gravity central charge with field theory calculations.

Abstract

We construct supersymmetric $AdS_5\times \Sigma$ 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.