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arXiv · 1406.0852

AdS_6 solutions of type II supergravity

Fabio Apruzzi·Marco Fazzi·Achilleas Passias·Dario Rosa·Alessandro Tomasiello
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Abstract

Very few AdS_6 x M_4 supersymmetric solutions are known: one in massive IIA, and two IIB solutions dual to it. The IIA solution is known to be unique; in this paper, we use the pure spinor approach to give a classification for IIB supergravity. We reduce the problem to two PDEs on a two-dimensional space Sigma. M_4 is then a fibration of S^2 over Sigma; the metric and fluxes are completely determined in terms of the solution to the PDEs. The results seem likely to accommodate near-horizon limits of (p,q)-fivebrane webs studied in the literature as a source of CFT_5's. We also show that there are no AdS_6 solutions in eleven-dimensional supergravity.

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Fabio Apruzzi, Marco Fazzi, Achilleas Passias, Dario Rosa, Alessandro Tomasiello. 2015-04-03. AdS_6 solutions of type II supergravity. https://doi.org/10.1007/jhep11(2014)099

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