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arXiv · 0802.2040

Invariant Killing spinors in 11D and type II supergravities

U. Gran·J. Gutowski·G. Papadopoulos
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Abstract

We present all isotropy groups and associated $Σ$ groups, up to discrete identifications of the component connected to the identity, of spinors of eleven-dimensional and type II supergravities. The $Σ$ 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 $Σ$ 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 $Σ$ groups in the choice of Killing spinor representatives and in the context of compactifications.

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U. Gran, J. Gutowski, G. Papadopoulos. 2009-07-10. Invariant Killing spinors in 11D and type II supergravities. https://doi.org/10.1088/0264-9381%2F26%2F15%2F155004

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