On duality symmetries of supergravity invariants

G. Bossard, P. S. Howe, K. S. Stelle

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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 E-7(7)-invariant in D = 4, N = 8 supergravity or E-6(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.
Original languageEnglish
Article number020
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2011

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