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• W3103878702 abstract "We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the $mathbb Z$-graded subalgebras $mathfrak{h}=mathfrak{h}_{-2}oplusmathfrak{h}_{-1}oplusmathfrak{h}_{0}$ of the Poincar'e superalgebra $mathfrak{g}=mathfrak{g}_{-2}oplusmathfrak{g}_{-1}oplusmathfrak{g}_{0}=Voplus Soplus mathfrak{so}(V)$ which differ only in zero degree, that is $mathfrak{h}_0subsetmathfrak{g}_0$ and $mathfrak{h}_j=mathfrak{g}_j$ for $j<0$. Aside from the Poincar'e superalgebra itself and its $mathbb Z$-graded subalgebras, there are only three other Lie superalgebras, which are the symmetry superalgebras of the non-flat maximally supersymmetric backgrounds. In passing we identify the gravitino variation with (a component of) a Spencer cocycle." @default.
• W3103878702 created "2020-11-23" @default.
• W3103878702 creator A5036354054 @default.
• W3103878702 creator A5053972463 @default.
• W3103878702 date "2016-06-29" @default.
• W3103878702 modified "2023-10-14" @default.
• W3103878702 title "Spencer Cohomology and 11-Dimensional Supergravity" @default.
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• W3103878702 doi "https://doi.org/10.1007/s00220-016-2700-1" @default.
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