A note on N=8 counterterms

Abstract

The most difficult counterterms to construct in any supersymmetric theory are those that cannot be written as full superspace integrals of gauge-invariant integrands. In $D=4$ maximal supergravity it has been known for some time that there are just three of these at the linearised level. In this article we discuss these counterterms again from the point of view of representations of the superconformal group. In particular, we show that the only independent invariants constructed from shortened superconformal multiplets in $D=4$ are BPS.

13 pages

References in corpus (6)

• Ultraviolet properties of Maximal Supergravity
• Stringy KLT relations, global symmetries, and E_7(7) violation
• E7(7) symmetry in perturbatively quantised N=8 supergravity
• N=4 Superconformal Characters and Partition Functions
• Shadow Fields and Local Supersymmetric Gauges
• Light-by-Light Scattering Effect in Light-Cone Supergraphs

Cited by in corpus (4)

• E7(7) constraints on counterterms in N=8 supergravity
• On duality symmetries of supergravity invariants
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• The D^{2k} R^4 Invariants of N=8 Supergravity