AdS_6 solutions of type II supergravity

Understand

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.