The D^{2k} R^4 Invariants of N=8 Supergravity

Abstract

The existence of a linearized SUSY invariant for N=8 supergravity whose gravitational components are usually called R^4 was established long ago by on-shell superspace arguments. Superspace and string theory methods have also established analogous higher dimensional D^{2k} R^4 invariants. However, very little is known about the SUSY completions of these operators which involve other fields of the theory. In this paper we find the detailed component expansion of the linearized R^4 invariant starting from the corresponding superamplitude which generates all component matrix elements of the operator. It is then quite straightforward to extend results to the entire set of D^{2k} R^4 operators.

arXiv comment17 pages

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Cited by in corpus (16)

• Simplifying Multiloop Integrands and Ultraviolet Divergences of Gauge Theory and Gravity Amplitudes
• The vanishing volume of D=4 superspace
• The M-Theory S-Matrix From ABJM: Beyond 11D Supergravity
• E{7(7)} Symmetry and Finiteness of N=8 Supergravity
• Counterterms vs. Dualities
• N=8 Counterterms and E7(7) Current Conservation
• Superconformal symmetry and maximal supergravity in various dimensions
• Born-Infeld with Higher Derivatives
• Higher Derivative Supergravities in Diverse Dimensions
• New E77 invariants and amplitudes
• Absence of U(1) Anomalous Superamplitudes in $\mathcal{N}\ge 5$ Supergravities
• One-loop Amplitudes for N=2 Homogeneous Supergravities
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• Supersymmetry constraints on U-duality invariant deformations of $N\ge 5$ Supergravity
• The Action with Manifest E7 Type Symmetry
• Deformation of d=4, N> 4 Supergravities Breaks Nonlinear Local Supersymmetry