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Invariant Killing spinors in 11D and type II supergravities

Ulf Gran (Institutionen för fundamental fysik, Matematisk fysik) ; Jan Gutowski ; George Papadopoulos
Classical and Quantum Gravity (0264-9381). Vol. 26 (2009), 15,
[Artikel, refereegranskad vetenskaplig]

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.

Denna post skapades 2008-11-18. Senast ändrad 2015-12-17.
CPL Pubid: 78273


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Institutioner (Chalmers)

Institutionen för fundamental fysik, Matematisk fysik (2005-2013)



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