Invariant Killing spinors in 11D and type II supergravities

Details Invariant Killing spinors in 11D and type II supergravities Invariant Killing spinors in 11D and type II supergravities

2008-02-14

arxiv.org/abs/0802.2040v2

Class.Quant.Grav.26:155004,2009

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, typos corrected

Scientific paper

10.1088/0264-9381/26/15/155004

We present all isotropy groups and associated $\Sigma$ groups, up to discrete identifications of the component connected to the identity, of spinors of eleven-dimensional and type II supergravities. The $\Sigma$ groups are products of a Spin group and an R-symmetry group of a suitable lower dimensional supergravity theory. Using the case of SU(4)-invariant spinors as a paradigm, we demonstrate that the $\Sigma$ groups, and so the R-symmetry groups of lower-dimensional supergravity theories arising from compactifications, have disconnected components. These lead to discrete symmetry groups reminiscent of R-parity. We examine the role of disconnected components of the $\Sigma$ groups in the choice of Killing spinor representatives and in the context of compactifications.

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