Supersymmetry and homogeneity of M-theory backgrounds

Details Supersymmetry and homogeneity of M-theory backgrounds Supersymmetry and homogeneity of M-theory backgrounds

2004-09-16

arxiv.org/abs/hep-th/0409170v1

Class.Quant.Grav.22:207-226,2005

Physics

High Energy Physics

High Energy Physics - Theory

21 pages

Scientific paper

10.1088/0264-9381/22/1/014

We describe the construction of a Lie superalgebra associated to an arbitrary supersymmetric M-theory background, and discuss some examples. We prove that for backgrounds with more than 24 supercharges, the bosonic subalgebra acts locally transitively. In particular, we prove that backgrounds with more than 24 supersymmetries are necessarily (locally) homogeneous. Furthermore we provide evidence that 24 is the minimal number of supersymmetries which guarantees this.

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