2023/09/04 by Andrea Legramandi, Legramandi, Andrea, Niall T. Macpherson +3 · 1 citation
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th)
paper · pdf · doi:10.48550/arxiv.2309.01714
openalex publication_date 2023/09/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We derive necessary and sufficient conditions for warped AdS2 solutions of Type II supergravity to preserve \cal N=1 supersymmetry, in terms of bispinors. Such solutions generically support an SU(3)-structure on their internal manifold M8, which can experience an enhancement to a G2-structure. We perform an SU(3)-structure torsion classes analysis and express the fluxes and other physical fields in terms of these, in general. We use our results to derive two new classes of AdS2 solutions. In (massive) Type IIA supergravity we derive an \mathcal N=1 supersymmetric class for which M8 decomposes as a weak G2-manifold foliated over an interval and which is locally defined in terms of a degree three polynomial. In Type IIB supergravity we find a class of AdS2\timesS2\timesCY2×Σ2 solutions preserving small \cal N=4 supersymmetry, governed by a harmonic function on Σ2 and partial differential equations reminiscent of D3-D7-brane configurations.