Invariant Killing spinors in 11D and type II supergravities

U. Gran, J. Gutowski, G. Papadopoulos

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We present all isotropy groups and associated Sigma groups, up to discrete identifications of the component connected to the identity, of spinors of 11-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 us 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.
Original languageEnglish
Article number155004
JournalClassical and Quantum Gravity
Issue number15
Publication statusPublished - 2009


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