Invariant Killing spinors in 11D and type II supergravities

TY - JOUR

T1 - Invariant Killing spinors in 11D and type II supergravities

AU - Gran, U.

AU - Gutowski, J.

AU - Papadopoulos, G.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

M3 - Article

VL - 26

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 15

M1 - 155004

ER -