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Abstract
We recover the classification of the maximally supersymmetric bosonic backgrounds of 11dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the ZZ graded subalgebras h=h−2⊕h−1⊕h0h=h−2⊕h−1⊕h0 of the Poincaré superalgebra g=g−2⊕g−1⊕g0=V⊕S⊕so(V)g=g−2⊕g−1⊕g0=V⊕S⊕so(V) which differ only in zero degree, that is h0⊂g0h0⊂g0 and hj=gjhj=gj for j<0j<0 . Aside from the Poincaré superalgebra itself and its ZZ graded subalgebras, there are only three other Lie superalgebras, which are the symmetry superalgebras of the nonflat maximally supersymmetric backgrounds. In passing we identify the gravitino variation with (a component of) a Spencer cocycle.
Original language  English 

Pages (fromto)  627660 
Number of pages  34 
Journal  Communications in Mathematical Physics 
Volume  349 
Issue number  2 
Early online date  29 Jun 2016 
DOIs  
Publication status  Published  Jan 2017 
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Dive into the research topics of 'Spencer Cohomology and 11Dimensional Supergravity'. Together they form a unique fingerprint.Projects
 2 Finished

Particle Theory at the Higgs Centre
FigueroaO'Farrill, J., Lucietti, J. & Simon Soler, J.
1/10/14 → 30/09/18
Project: Research

Particle Theory at the Tait Institute
Ball, R., Berera, A., Boyle, P., Del Debbio, L., FigueroaO'Farrill, J., Gardi, E., Horsley, R., Kennedy, A., Kenway, R., Pendleton, B. & Simon Soler, J.
1/10/11 → 30/09/15
Project: Research