Abstract
We consider the most general solutions of eleven-dimensional supergravity preserving N = 2 supersymmetry whose metrics are warped products of three-dimensional anti-de Sitter space with an eight-dimensional manifold, focusing on those realising (2,0) superconformal symmetry. We give a set of necessary and sufficient conditions for a solution to be supersymmetric, which can be phrased, in the general case, in terms of a local SU(2) structure and its intrinsic torsion. We show that these supergravity backgrounds always admit a nowhere-vanishing Killing vector field that preserves the solution and encodes the U(1) R-symmetry of the dual field theory. We illustrate our results with examples which have appeared in the literature, including those with SU(4), G2 and SU(3) structures, and discuss new classes of Minkowski solutions.
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Acknowledgments
It is a pleasure to thank André Coimbra, Charles Strickland-Constable and Eirik Eik Svanes for useful discussions, and Savdeep Sethi for collaboration on a related project that spurred this work. The author is supported in part by NSF Grant No. PHY2014195 and in part by the Kadanoff Center for Theoretical Physics. The author also acknowledges the support of the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement No. 838776.
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Ashmore, A. N = (2, 0) AdS3 solutions of M-theory. J. High Energ. Phys. 2023, 101 (2023). https://doi.org/10.1007/JHEP05(2023)101
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DOI: https://doi.org/10.1007/JHEP05(2023)101