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 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 AdS 3 (Gödel) and warped dS 3 solutions. Moreover, we show that the superpotential T encodes the central charge and R symmetry of the dual \( \mathcal{N}=\left(0,\;2\right) \) 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 \( \mathcal{N}=\left(0,\;2\right) \) supersymmetry.
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Karndumri, P., Ó Colgáin, E. 3D supergravity from wrapped M5-branes. J. High Energ. Phys. 2016, 188 (2016). https://doi.org/10.1007/JHEP03(2016)188
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DOI: https://doi.org/10.1007/JHEP03(2016)188