M5-branes wrapped on four-dimensional orbifolds

TL;DR

This paper constructs new supersymmetric $AdS_3$ solutions in $D=11$ supergravity, dual to 2D SCFTs from M5-branes wrapped on complex four-dimensional orbifolds, and confirms their central charges match field theory predictions.

Contribution

It introduces novel $D=11$ supergravity solutions for M5-branes on orbifolds and develops a new consistent Kaluza-Klein truncation from $D=7$ to $D=5$ supergravity.

Findings

Central charges match between gravity and field theory calculations.

New $D=11$ solutions for M5-branes on orbifolds.

Established a new consistent Kaluza-Klein truncation.

Abstract

We construct supersymmetric $AdS_3$ solutions of $D=11$ supergravity, dual to $d=2$, $\mathcal{N}=(0,2)$ SCFTs, that are associated with M5-branes wrapping two different four-dimensional orbifolds. In one case the orbifold is a spindle fibred over another spindle, while in the other it is a spindle fibred over a Riemann surface with genus $g>1$. We show that the central charges of the $d=2$ SCFTs calculated from the gravity solutions agree with field theory computations using anomaly polynomials. The new $D=11$ solutions are obtained after constructing a new consistent Kaluza-Klein truncation of maximal $D=7$ gauged supergravity reduced on a spindle down to $D=5$ minimal gauged supergravity.