On duality symmetries of supergravity invariants
arXiv:1009.0743 · doi:10.1007/JHEP01(2011)020
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. 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.
Clarification of arguments and their consistency with higher dimensional divergences added, e.g. we prove the 5D 4L non-renormalisation theorem. The 4L N=6 divergence is also ruled out. References added
References in corpus (9)
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- The Complete Four-Loop Four-Point Amplitude in N=4 Super-Yang-Mills Theory
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Cited by in corpus (6)
- On D=5 super Yang-Mills theory and (2,0) theory
- E7(7) constraints on counterterms in N=8 supergravity
- Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
- N=8 Counterterms and E7(7) Current Conservation
- Maximal supergravity in three dimensions: supergeometry and differential forms
- The D^{2k} R^4 Invariants of N=8 Supergravity