20 citations · 96 across the 24 of their papers we have counts for
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Killing superalgebras for lorentzian five-manifolds
Andrew Beckett, José Figueroa-O'Farrill
We calculate the relevant Spencer cohomology of the minimal Poincaré superalgebra in 5 spacetime dimensions and use it to define Killing spinors via a connection on the spinor bund…
Remarks on highly supersymmetric backgrounds of 11-dimensional supergravity
Andrea Santi
This note focuses on some properties and uses of filtered deformations in the context of D=11 supergravity. We define the concept of abstract symbol and give a strong version of th…
On the algebraic structure of Killing superalgebras
José Figueroa-O'Farrill, Andrea Santi
We study the algebraic structure of the Killing superalgebra of a supersymmetric background of -dimensional supergravity and show that it is isomorphic to a filtered deformatio…
Killing superalgebras for Lorentzian four-manifolds
Paul de Medeiros, José Figueroa-O'Farrill, Andrea Santi
We determine the Killing superalgebras underpinning field theories with rigid unextended supersymmetry on Lorentzian four-manifolds by re-interpreting them as filtered deformations…
Eleven-dimensional supergravity from filtered subdeformations of the Poincaré superalgebra
José Figueroa-O'Farrill, Andrea Santi
We summarise the results of our recent paper (arXiv:1511.08737) highlighting what might be considered to be a Lie-algebraic derivation of eleven-dimensional supergravity.
Spencer cohomology and eleven-dimensional supergravity
José Figueroa-O'Farrill, Andrea Santi
We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations o…