On duality symmetries of supergravity invariants

Details On duality symmetries of supergravity invariants On duality symmetries of supergravity invariants

2010-09-03

arxiv.org/abs/1009.0743v2

JHEP 1101:020,2011

Physics

High Energy Physics

High Energy Physics - Theory

Clarification of arguments and their consistency with higher dimensional divergences added, e.g. we prove the 5D 4L non-renorm

Scientific paper

10.1007/JHEP01(2011)020

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. The former allows us to prove that F-term counterterms cannot be E7(7)-invariant in D=4, N=8 supergravity or E6(6)-invariant in D=5 maximal supergravity. This is confirmed by the two other methods which can also be applied to D=4 theories with fewer supersymmetries and allow us to prove that N=6 supergravity is finite at three and four loops and that N=5 supergravity is three-loop finite.

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