paper

3D supergravity from wrapped M5-branes

arXiv:1508.00963 · doi:10.1007/JHEP03(2016)188

Abstract

Through consistent Kaluza-Klein reduction, we construct 3D gauged supergravities corresponding to twisted compactifications of M5-branes on a product of constant curvature Riemann surfaces, including Kähler-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 (Gödel) and warped solutions. Moreover, we show that the superpotential encodes the central charge and R symmetry of the dual SCFTs in the large limit. We demonstrate that the R symmetry matches the canonical isometry from existing classifications of supersymmetric solutions to 11D supergravity with supersymmetry.

28 pages; v2 references updated, typos corrected, further details of 11D uplift of AdS3 vacua added

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