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On duality symmetries of supergravity invariants

MPS-Authors
http://pubman.mpdl.mpg.de/cone/persons/resource/persons20703

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

http://pubman.mpdl.mpg.de/cone/persons/resource/persons4395

Stelle,  K. S.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Fulltext (public)

1009.0743
(Preprint), 171KB

JHEP01_2011_020.pdf
(Any fulltext), 392KB

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There is no public supplementary material available
Citation

Bossard, G., Howe, P. S., & Stelle, K. S. (2011). On duality symmetries of supergravity invariants. Journal of High Energy Physics, 2011(01): 020, pp. 1-26. Retrieved from http://arxiv.org/abs/1009.0743.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0012-C6C1-3
Abstract
The role of duality symmetries in the construction of counterterms for maximal supergravity theories is discussed in a field-theoretic context from different points of view. These are: dimensional reduction, the question of whether appropriate superspace measures exist and information about non-linear invariants that can be gleaned from linearised ones. In D=4, N=8 supergravity we find that all three of these arguments suggest that F-term counterterms cannot be E7(7)-invariant and that the theory should be finite up to seven loops as a consequence. We also argue that N=6 supergravity is finite at three and four loops and that N=5 supergravity should be three-loop finite.