José Figueroa-O'Farrill (Edinburgh):

Supergravity Vacua and Plücker Relations

I will report on work in progress in collaboration with Ali Chamseddine and Wafic Sabra at CAMS (Beirut). I will present a classification of maximally supersymmetric solutions of chiral (1,0) supergravity in six dimensions. They are given by certain Lie groups with a bi-invariant lorentzian metric. The solutions are shown to be related by Penrose limits, which in this case are group contractions. As a byproduct we obtain a characterisation of manifolds admitting a certain type of flat metric connection with torsion. If time allows I will try to contrast this with recent work in collaboration with George Papadopoulos on ten-dimensional IIB supergravity and to some mysterious Pluecker-like relations which appear there.
close window