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• W2470436166 abstract "We prove that, for M theory or type II, generic Minkowski flux backgrounds preserving $mathcal{N}$ supersymmetries in dimensions $Dgeq4$ correspond precisely to integrable generalised $G_{mathcal{N}}$ structures, where $G_{mathcal{N}}$ is the generalised structure group defined by the Killing spinors. In other words, they are the analogues of special holonomy manifolds in $E_{d(d)} timesmathbb{R}^+$ generalised geometry. In establishing this result, we introduce the Kosmann-Dorfman bracket, a generalisation of Kosmann's Lie derivative of spinors. This allows us to write down the internal sector of the Killing superalgebra, which takes a rather simple form and whose closure is the key step in proving the main result. In addition, we find that the eleven-dimensional Killing superalgebra of these backgrounds is necessarily the supertranslational part of the $mathcal{N}$-extended super-Poincar'e algebra." @default.
• W2470436166 created "2016-07-22" @default.
• W2470436166 creator A5015966371 @default.
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• W2470436166 date "2016-11-01" @default.
• W2470436166 modified "2023-09-25" @default.
• W2470436166 title "Supersymmetric backgrounds, the Killing superalgebra, and generalised special holonomy" @default.
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• W2470436166 doi "https://doi.org/10.1007/jhep11(2016)063" @default.
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