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Journal Article

On the relation between d = 4 and d = 11 supergravity


Nicolai,  Hermann
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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De Wit, B., & Nicolai, H. (1984). On the relation between d = 4 and d = 11 supergravity. Nuclear Physics B, 243(1), 91-111. doi:10.1016/0550-3213(84)90387-0.

Cite as: http://hdl.handle.net/11858/00-001M-0000-0013-5E2A-2
We investigate the supersymmetry transformation laws in an arbitrary compactification of d = 11 supergravity to four dimensions. The d = 4 fields of gauged N = 8 supergravity are identified in a class of SO(7)− invariant backgrounds. The two stationary points in these background configurations correspond to the round and parallelized S7. We explicitly demonstrate that the latter coincides with the SO(7)− stationary point of the N = 8 supergravity potential. Chiral SU(8) is found to play a crucial role in establishing these results; we speculate on its possible relevance in the full d = 11 theory.