# Item

ITEM ACTIONSEXPORT

Released

Journal Article

#### On duality symmetries of supergravity invariants

##### External Ressource

No external resources are shared

##### Fulltext (public)

1009.0743

(Preprint), 171KB

JHEP01_2011_020.pdf

(Any fulltext), 392KB

##### Supplementary Material (public)

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.