Dr Andrea Santi (University of Bologna)
I will talk about joint work with José Figueroa-O'Farrill on the algebraic structure of the Lie superalgebra generated by the Killing spinors of an 11-dimensional supergravity background. I will explain that any such Killing superalgebra can be regarded as an appropriate deformation of a subalgebra of the Poincaré superalgebra and discuss applications to the classification of highly supersymmetric backgrounds. In particular, we will see that preserving more than half the supersymmetry implies the supergravity field equations. If time permits, I will also mention ongoing work on the existence of half-BPS backgrounds whose Killing superalgebras are deformations of the Killing superalgebra of the elementary M2-brane.
Dr Andrea Santi (University of Bologna) Prof. José Miguel Figueroa-O'Farrill (School of Mathematics, University of Edinburgh)