\(\mathrm{AdS}_3\) solutions in massive IIA with small \(\mathcal{N} = (4, 0)\) supersymmetry. (English) Zbl 1434.83164

Summary: We study \(\mathrm{AdS}_3 \times S^2\) solutions in massive IIA that preserve small \(\mathcal{N} = (4, 0)\) supersymmetry in terms of an SU(2)-structure on the remaining internal space. We find two new classes of solutions that are warped products of the form \(\mathrm{AdS}_3 \times S^2 \times M_4 \times \mathbb{R}\). For the first, \(M_4=CY_2\) and we find a generalisation of a D4-D8 system involving possible additional branes. For the second, \(M_4\) need only be Kahler, and we find a generalisation of the T-dual of solutions based on D3-branes wrapping curves in the base of an elliptically fibered Calabi-Yau 3-fold. Within these classes we find many new locally compact solutions that are foliations of \(\mathrm{AdS}_3 \times S^2 \times CY_2\) over an interval, bounded by various D brane and O plane behaviours. We comment on how these local solutions may be used as the building blocks of infinite classes of global solutions glued together with defect branes. Utilising T-duality we find two new classes of \(\mathrm{AdS}_3 \times S^3 \times M_4\) solutions in IIB. The first backreacts D5s and KK monopoles on the D1-D5 near horizon. The second is a generalisation of the solutions based on D3-branes wrapping curves in the base of an elliptically fibered \(CY_3\) that includes non trivial 3-form flux.


83E50 Supergravity
81T60 Supersymmetric field theories in quantum mechanics
81T35 Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.)
81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
83E30 String and superstring theories in gravitational theory
14J32 Calabi-Yau manifolds (algebro-geometric aspects)
83E15 Kaluza-Klein and other higher-dimensional theories
Full Text: DOI arXiv


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