Spencer Cohomology and 11-Dimensional Supergravity
| Autor: | Andrea Santi, José Figueroa-O'Farrill |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Degree (graph theory) 010308 nuclear & particles physics Supergravity Mathematics::Rings and Algebras 010102 general mathematics Zero (complex analysis) Statistical and Nonlinear Physics 01 natural sciences Superalgebra Cohomology Combinatorics 0103 physical sciences Gravitino 0101 mathematics Symmetry (geometry) Mathematics::Representation Theory Mathematical Physics Supersymmetry algebra |
| Zdroj: | Figueroa-O'Farrill, J & Santi, A 2017, ' Spencer Cohomology and 11-Dimensional Supergravity ', Communications in Mathematical Physics, vol. 349, no. 2, pp. 627-660 . https://doi.org/10.1007/s00220-016-2700-1 |
| DOI: | 10.1007/s00220-016-2700-1 |
| Popis: | We recover the classification of the maximally supersymmetric bosonic backgrounds of 11-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the \({{\mathbb{Z}}}\)-graded subalgebras\({\mathfrak{h}=\mathfrak{h}_{-2} \oplus\mathfrak{h}_{-1} \oplus\mathfrak{h}_{0}}\) of the Poincare superalgebra \({\mathfrak{g}=\mathfrak{g}_{-2} \oplus\mathfrak{g}_{-1} \oplus\mathfrak{g}_{0}=V\oplus S\oplus \mathfrak{so}(V)}\) which differ only in zero degree, that is \({\mathfrak{h}_0\subset\mathfrak{g}_0}\) and \({\mathfrak{h}_\mathfrak{j}=\mathfrak{g}_\mathfrak{j}}\) for \({\mathfrak{j} |
| Databáze: | OpenAIRE |
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