3D supergravity from wrapped M5-branes

TL;DR

This paper constructs 3D gauged supergravities from wrapped M5-branes, classifies supersymmetric solutions, and relates superpotential to dual SCFT properties, advancing understanding of M-theory compactifications.

Contribution

It provides a consistent Kaluza-Klein reduction for M5-branes on complex manifolds and classifies all timelike supersymmetric solutions, including new warped AdS3 and dS3 geometries.

Findings

Identified infinite classes of new supersymmetric warped AdS3 and dS3 solutions.

Linked superpotential T to central charge and R symmetry of dual SCFTs.

Matched R symmetry with known classifications of AdS3 solutions in 11D supergravity.

Abstract

Through consistent Kaluza-Klein reduction, we construct 3D $\mathcal{N} =2$ gauged supergravities corresponding to twisted compactifications of M5-branes on a product of constant curvature Riemann surfaces, including K\"{a}hler-Einstein four-manifolds. We extend the reduction to fermionic supersymmetry variations in order to determine the 3D Killing spinor equations and classify all timelike supersymmetric solutions. As a by-product, we identify an infinite class of new supersymmetric warped $AdS_3$ (G\"odel) and warped $d S_3$ solutions. Moreover, we show that the superpotential $T$ encodes the central charge and R symmetry of the dual $\mathcal{N} = (0,2)$ SCFTs in the large $N$ limit. We demonstrate that the R symmetry matches the canonical $U(1)$ isometry from existing classifications of supersymmetric $AdS_3$ solutions to 11D supergravity with $\mathcal{N} = (0,2)$ supersymmetry.