Invariant Killing spinors in 11D and type II supergravities
Artikel i vetenskaplig tidskrift, 2009

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.


Ulf Gran

Chalmers, Teknisk fysik, Matematisk fysik

Jan Gutowski

University of Cambridge

George Papadopoulos

King's College London

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 26


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