Spinors in supersymmetric dS/CFT

IIB solutions with N > 28 Killing spinors are maximally supersymmetric

We show that all IIB supergravity backgrounds which admit more than 28 Killing spinors are maximally supersymmetric. In particular, we find that for all N > 28 backgrounds the supercovariant curvature vanishes, and that the quotients of maximally supersymmetric backgrounds either preserve all 32 or N < 29 supersymmetries.

Geometries with Killing Spinors and Supersymmetric AdS Solutions

The seven and nine dimensional geometries associated with certain classes of supersymmetric AdS3 and AdS2 solutions of type IIB and D = 11 supergravity, respectively, have many similarities with Sasaki-Einstein geometry. We further elucidate their properties and also generalise them to higher odd dimensions by introducing a new class of complex geometries in 2n+2 dimensions, specified by a Riem...

SPINORS and

Delocalised Spinors

Solutions to the four-dimensional Euclidean Weyl equation in the background of a general JNR N -instanton are known to be normalisable and regular throughout four-space. We show that these solutions are asymptotically given by a linear combination of simple singular solutions to the free Weyl equation, which can be interpreted as localised spinors. The ‘spinorial’ data parameterising the asympt...

Spinors in Projective Relativity.