Le contenu de cette page n’est pas disponible en français. Veuillez nous en excuser.
 

All AdS7 solutions of type II supergravity



Playing this video requires the latest flash player from Adobe.

Download link (right click and 'save-as') for playing in VLC or other f4v compatible player.


Recording Details

Scientific Areas: 
Collection/Series: 
PIRSA Number: 
13100108

Abstract

In M-theory, the only AdS7 supersymmetric solutions are
AdS7 × S4 and its orbifolds. In this talk, I will describe a classification of
AdS7 supersymmetric solutions in type II supergravity. While in IIB none exist,
in IIA with Romans mass (which does not lift to M-theory) there are many new
ones. The classification starts from a pure spinor approach reminiscent of
generalized complex geometry. Without the need for any Ansatz, the method
determines uniquely the form of the metric and fluxes, up to solving a system
of ODEs. Namely, the metric on M3 is that of an S2 fibered over an interval;
this is consistent with the Sp(1) R-symmetry of the holographically dual (1,0)
theory. One can obtain numerically many solutions, with D8 and/or D6 brane
sources; topologically, the internal manifold M3 = S^3.