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arXiv · 1712.00851

Mink$_3\times S^3$ solutions of type II supergravity

Niall T. Macpherson·Jesús Montero·Daniël Prins
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Abstract

We initiate the classification of supersymmetric solutions of type II supergravity on $\mathbb{R}^{1,2} \times S^3 \times M_4$. We find explicit local expressions for all backgrounds with either a single Killing spinor or two of equal norm, up to PDE's. We show that the only type II AdS$_4\times S^3$ solution is the known $\mathcal{N}=4$ AdS$_4$ background obtained from the near-horizon limit of intersecting D2-D6 branes. Various known branes and intersecting brane systems are recovered, and we obtain a novel class of $\mathbb{R}^{1,2} \times S^2\times S^3$ solutions in IIA.

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Niall T. Macpherson, Jesús Montero, Daniël Prins. 2018-03-05. Mink$_3\times S^3$ solutions of type II supergravity. https://doi.org/10.1016/j.nuclphysb.2018.05.021

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