D3-branes wrapped on a spindle

TL;DR

This paper constructs new supersymmetric $AdS_3$ solutions in five-dimensional supergravity with a spindle orbifold, which uplift to smooth type IIB solutions and are dual to specific 2D SCFTs, revealing novel R-symmetry mixing.

Contribution

It introduces supersymmetric $AdS_3$ solutions with spindle orbifolds in minimal gauged supergravity that uplift to smooth type IIB backgrounds, connecting geometry with dual SCFTs.

Findings

Central charge matches field theory calculations.

Superconformal R-symmetry mixes with spindle isometry.

Solutions are dual to 2D $ ext{SCFTs}$ with $ ext{N}=(0,2)$ supersymmetry.

Abstract

We construct supersymmetric $AdS_3\times \Sigma$ solutions of minimal gauged supergravity in $D=5$, where $\Sigma$ is a two-dimensional orbifold known as a spindle. Remarkably, these uplift on $S^5$, or more generally on any regular Sasaki-Einstein manifold, to smooth solutions of type IIB supergravity. The solutions are dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs and we show that the central charge for the gravity solution agrees with a field theory calculation associated with D3-branes wrapped on $\Sigma$. Unlike for smooth $\Sigma$ the superconformal R-symmetry mixes with the $U(1)$ isometry of the spindle.