AdS_6 solutions of type II supergravity
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.
Keywords
Cite
@article{arxiv.1406.0852,
title = {AdS_6 solutions of type II supergravity},
author = {Fabio Apruzzi and Marco Fazzi and Achilleas Passias and Dario Rosa and Alessandro Tomasiello},
journal= {arXiv preprint arXiv:1406.0852},
year = {2015}
}
Comments
37 pages; v2: references and equations (5.1) added, version published in Journal of High Energy Physics; v3: equation (5.1b) corrected