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

DOI10.1007/JHEP01(2020)129zbMATH Open1434.83164arXiv1908.09851MaRDI QIDQ2185332

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Publication date: 4 June 2020

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Abstract: We study AdS${}_{3}imesext{S}^2$ solutions in massive IIA that preserve small $calN=(4,0)$ 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 AdS${}_{3}imesext{S}^{2}imesext{M}_{4}imesmathbbR$. For the first, M${}_4$=CY${}_2$ and we find a generalisation 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 AdS${}_{3}imesext{S}^{2}imesext{CY}_2$ 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 AdS${}_{3}imesext{S}^{3}imesext{M}_4$ 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.

Full work available at URL: https://arxiv.org/abs/1908.09851

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